The breadth of a rectangle is 4/5 of the radius of a circle. The radius of the circle is 1/5 of the side of a square, whose area is 625 cm2. What is the area of the rectangle if the length of rectangle is 20 cm?

The area of a square is 1296 cm²and the radius of a circle is $\frac{7}{6}$ of the length of a side of the square. What is the ratio of the perimeter of the square and the circumference of the circle? [Use π $=\frac{22}{7}$ ]

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. If cost of flooring is 10 rs/m2, find the total cost of flooring the path.

The length of a rectangle is twice its breadth. If its length is decreased by 4 cm and breadth is increased by 4 cm, the area of the rectangle increases by 52 cm2. The length of the rectangle (in cm) is:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is

The ratio of the length of two rectangles is 24 : 23 and the breadth of the two rectangles is 18 : 17. If the perimeter of the second rectangle is 160 cm and the length of the second rectangle is 12 cm more than its breadth, then find the area of the first rectangle ?

The area of a rectangular field is 15 times the sum of its length and breadth. If the length of that field is 40 m, then what is the breadth of that field?

Half of the perimeter of a rectangle is 45 cm. If the length of a rectangle is 5 cm more than its breadth, then what is the area of the rectangle?

A path of uniform width of 1m inside the rectangular park of 20m and 15m are made. Find the area of a path.

The area of a square and a rectangle is equal. The length of the rectangle is 6 cm more than the side of the square and breadth is 4 cm less than the side of the square. What is the perimeter of the rectangle?

Length of the rectangle is x cm and the diagonal of the rectangle is (x + 1) cm. Then the breadth of the rectangle is (x - 7) cm. Find the perimeter of the rectangle. (x ≠ 4)

The length of a rectangle is $\frac{2}{5}$ of the radius of a circle. The radius of the circle is equal to the side of a square whose area is 4900 m². What is the area (in m²) of the rectangle, if its breadth is 20 m?

A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in Rs.) of levelling the entire lawn at the rate of Rs. 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take π = 3.14)

A park is in the shape of a rectangle. Its length and breadth are 240 m and 100 m, respectively. At the centre of the park. there is a circular lawn. The area of the park, excluding the lawn is 3904 m2. What is the perimeter (in m) of the lawn? (use π = 3.14 )

The area of a square and a rectangle are equal. The length of the rectangle is greater than the side of square by 9 cm and its breadth is less than the side of square by 6 cm. What will be the perimeter of the rectangle?

The area of a field in the shape of a regular hexagon is 3750√3 m2. What will be the cost (in Rs.) of putting fence around it at Rs. 29 per meter?

The length of rectangle is increased by 10% and the breadth is increased by 25%. What is the percentage change in its area?

A hall 25 metres long and 15 metres broad is surrounded by a verandah of uniform width of 3.5 metres. The cost of flooring the verandah, at 27.50 per square metre is

The cost of carpeting a room is 120. If the width had been 4 metres less, the cost of the Car- pet would have been 20 less. The width of the room is :

The length and breadth of a rectangular field are in the ratio of 3 : 2. If the perimeter of the field is 80m, its breadth (in metres) is :

The perimeter of two squares are 40 cm and 24 cm. The perimeter of a third square , whose area is equal to the difference of the area of these squares, is

The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of the two squares is

The length and breadth of a rectangular piece of a land are in a ratio 5 : 3. The owner spent Rs. 6000 for surrounding it from all sides at Rs. 7.50 per metre. The difference between its length and breadth is

The breadth of a rectangular hall is three-fourth of its length. If the area of the floor is 768 sq. m., then the difference between the length and breadth of the hall is:

If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and that of the square is

If the area of a triangle with base 12 cm is equal to the area of a square with side 12 cm, the altitude of the triangle will be

The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle.

The perimeter of a rhombus is 40 m and its height is 5 m. Its area is :

The perimeter of an isosceles tri- angle is 544 cm and each of the equal sides is $\frac{5}{6}$ times the base . What is the area (in $cm^2$ ) of the triangle ?

What is the area of a triangle having perimeter 32cm, one side 11cm and difference of other two sides 5cm?

The sides of a triangle are in the ratio 2 : 3 : 4. The perimeter of the triangle is 18 cm. The area (in sq.cm) of the triangle is

If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle (in sq.cm) is :

The difference between the length and breadth of a rectangle is 23m. If its perimeter is 206 m, then its area is

The perimeter of five squares are 24 cm, 32 cm, 40 cm, 76 cm and 80 cm respectively. The perimeter of another square equal in area to sum of the areas of these squares is :

The area of an equilateral triangle is $9\sqrt{3} m^2$ . The length (in m) of the median is

The height of an equilateral triangle is 15 cm. The area of the triangle is

The ratio of sides of a triangle is 3:4:5 and area of the triangle is 72 square unit. Then the area of an equilateral triangle whose perimeter is same as that of the previous triangle is

If the length of each side of an equilateral triangle is increased by 2 unit, the area is found to be increased by $3 + \sqrt{3}$ square unit. The length of each side of the triangle is

The area of an equilateral triangle is $4\sqrt{3}cm^2$ . The length of each side of the triangle is :

The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio :

If the numerical value of the perimeter of an equilateral triangle is $\sqrt{3}$ times the area of it, then the length of each side of the triangle is

The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all around outside has an area of 416 sq.m .The breadth (in m) of the field is

A path of uniform width runsround the inside of a rectangularfield 38 m long and 32 m wide.If the path occupies 600sq.m, then the width of the path is

The perimeter of a rectangular plotis 48 m and area is 108 sq.m. The dimensions of the plot are

The sides of a rectangular plotare in the ratio 5:4 and its area is equal to 500 sq.m. The perimeter of the plot is :

The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?

The diagonals of two squares are in the ratio 5 : 2. The ratio of their area is

The length of the diagonal of a rectangle with sides 4 m and 3 m would be

If the side of a square is $\frac{1}{2} (x + 1)$ units and its diagonal is $\frac{3-x}{\sqrt{2}}$ units, then the length of the side of the square would be

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