Question

Find the side of a square whose perimeter is same as that of a rectangle whose length is
40 cm and breadth is 35 cm.​

Answer 1

QuesTion :-

Find the side of a square whose perimeter is same as that of a rectangle whose length is  40 cm and breadth is 35 cm.

SσluTioη

Length of rectangle = 40 cm

Breadth of rectangle = 35 cm

Perimeter of rectangle = 2 (l + b) units

Perimeter of rectangle = 2 (40 + 35) cm

Perimeter of rectangle = 2 (75) cm

Perimeter of rectangle = 150 cm

∵ Perimeter of rectangle = Perimeter of square

∴ Perimeter of square = 150 cm

$\boxed {\rm {Side \ of \ square = \frac{Perimeter}{4}}}\\\\\\\rm {\Rightarrow Side \ of \ square = \frac{150}{4}}\\\\\\\rm {\Rightarrow Side \ of \ square = 37.5 \ cm}$

Answer 2

GIVEN:

• Perimeter of square = Perimeter of rectangle
• Length of rectangle = 40 cm
• Breadth of rectangle = 35 cm

TO FIND:

• What is the side of the square ?

SOLUTION:

We have given that, the perimeter of square is equal to the perimeter of the rectangle

☞ Firstly, we have to find the perimeter of the rectangle

To find the perimeter of rectangle, we use the formula:-

✫ Perimeter = 2(Length + Breadth) ✫

According to question:-

$\sf{\implies Perimeter = 2(40 + 35)}$

$\sf{\implies Perimeter = 2 \times 75}$

$\bf{\implies Perimeter = 150 \: cm}$

✫ Perimeter of square = Perimeter of rectangle ✫

✫ Perimeter of square = 4 $\times$ side ✫

$\sf{\implies 4 \times side = 150}$

$\sf{\implies Side = \cancel\dfrac{150}{4}}$

$\bf{\implies Side = 37.5 \: cm}$

❝ Hence, the side of the square is 37.5 cm ❞

_____________________