Question

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​

Answer 1

The area of the rectangle in terms of 'x' = 13x

Explanation:

• Perimeter = 30 cm

• Length = x cm

Using the perimeter formula to find the width w.

`P=2(l+w)`

`P = 2l + 2w`

`2w = P-2l`

Dividing both sides by 2

`w\:=\:(P)/(2)-2`

as P = 30 cm

`w\:=\:(30)/(2)-2`

`w\:=\:15-2`

`w = 13` cm

Using the formula of the rectangle area

`A = wl`

substitute w = 13 and l = x in the formula

`A=13* \:x`

`A = 13x`

Therefore, the area of the rectangle in terms of 'x' = 13x