Question

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

Answer 1

Solution

Given :-

• Perimeter of rectangle = 72 cm
• The length is 3 more than twice the width.

Find :-

• Dimensions of rectangle

Explantion

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

• Length of Rectangle = x cm
• Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

Hence

• Length of Rectangle = 25 cm
• Width of Rectangle = 11 cm

________________________