Calculate Rectangle Area
First, find the area of the rectangle using its given dimensions.
Arearectangle = Length × Width
Arearectangle = 5 cm × 8 cm = 40 cm2
Determine Square Area
The problem states the square's area is 10 times the rectangle's area.
Areasquare = 10 × Arearectangle
Areasquare = 10 × 40 cm2 = 400 cm2
Find Square Side Length
Calculate the side length of the square by taking the square root of its area.
Sidesquare = $\sqrt{\text{Area}_{\text{square}}}$
Sidesquare = $\sqrt{400 \text{ cm}^2}$ = 20 cm
Calculate Square Perimeter
Finally, calculate the perimeter of the square.
Perimetersquare = 4 × Sidesquare
Perimetersquare = 4 × 20 cm = 80 cm
Similar Questions
- The ratio of the length to the breath of a rectangular field is $6 : 5$. If the breath is 25 m less than the length, the perimeter of the field is:
- The ratio of the area of an equilateral triangle of side $x$ to the area of a square of side $x$ is:
- Find the perimeter of a semicircle with a radius of 7 cm. (Use $\pi = \frac{22}{7}$)
- What is the area of a rhombus, whose sides are 25 cm and one of the diagonals is 14 cm?
- A sector of a circle has a radius of $18\text{ cm}$ and a central angle of $125^\circ$. What will be its approximate perimeter?
(Use $\pi = \frac{22}{7}$) - If the length and the perimeter of a rectangle are in the ratio of 3 : 20, then its length and breadth will be in the ratio of:
- A wire in the form of a circle of radius 56 m is cut and again bent in the form of a square. What is the measure of the diagonal of the square?
- 30 ml paint is required to paint a circular plate of 20 cm radius. How much paint is required to paint a similar plate of radius 80 cm?
- The ratio of the radii of two circles is $1 : 4$. The ratio of their areas is:
- Which of the four options provided below will be the closest to the area of an equilateral triangle, each of whose sides is 10 m long?
Important Questions from 2-D Mensuration
- The sides of a rectangular field are 169 m and 154 m long. Its area is equal to the area of a circular field. What is the circumference (in m) of the circular field? Take $\pi = \frac{22}{7}$
- Find the area of a sector with a central angle of 150° in a circle with a radius of 12 cm.
- The area of a square is $2304$ cm$^2$. Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm$^2$) of the hexagon?
Calculate the area of the triangle whose sides are 8 cm, 9 cm and 13 cm. (Rounded up to two decimal places)
- The length of a rectangular pitch is 30 m more than its breadth. Its area is $18,271$ m$^{2}$. Its breadth (in m) is:
