If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle (in m²)?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
48

Let the side of a square be 'a' and length and breadth of a rectangle be 'l' and 'b' respectively.

Given,
Perimeter of square = Perimeter of rectangle

4a = 2(l +b)

4 $\times$ 8 = 2(12 + b)

32 = 24 + 2b

8 = 2b

b = 4m

Area of rectangle = l $\times$ b = 12 $\times$ 4 = 48 $m^{2}$

Suggest Corrections

Similar questions

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle(in m²)?

Q. A rectangle and a square have equal areas. If the length and perimeter of a rectangle are

9

cm and

26

cm respectively, then find the perimeter and area of the square.

Q. A square and a rectangular plot of land have the same perimeter. If the square is of side

40 m

and the rectangle is of length

5

decameter. Then area of rectangle is _______ .

Q. A square and a rectangle have same perimeter. The side of square is

40

cm and length of rectangle is

10

cm, find breadth of rectangle.

Question 53

Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle.

Join BYJU'S Learning Program

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle (in m2)?

The correct option is D 48 Let the side of a square be 'a' and length and breadth of a rectangle be 'l' and 'b' respectively. Given, Perimeter of square = Perimeter of rectangle 4a = 2(l +b) 4 × 8 = 2(12 + b) 32 = 24 + 2b 8 = 2b b = 4m Area of rectangle = l × b = 12 × 4 = 48 m2

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle (in m²)?