Question

A rectangle has a length of (x + 4) centimeters and a width of 2/4 x centimeters. If the

perimeter is 35 centimeters, what is the length of the rectangle?

A: 3cm

B: 9cm

C: 13cm

D: 7cm

Answer 1

C: 13cm

Explanation:

Given;

length of the rectangle, L = (x + 4) cm

width of the rectangle, W =
`(2)/(4)x` cm

perimeter of the rectangle, P = 35 cm

The perimeter of a rectangle is given as;

P = 2(L + W)

Substitute the givens;

`35 = 2[(x+ 4) + (2x)/(4) ]\\\\35 = 2[(6x)/(4) +4]\\\\35 = 3x+8\\\\3x = 27\\\\x = (27)/(3)\\\\x = 9`

Then, L = (x + 4) cm

L = (9 + 4) cm

L = 13 cm

Therefore, the length of the rectangle is 13 cm