Question

The perimeter of a rectangle is 90 centimeters. The width of the rectangle can be represented by (x + 2), and its length can be represented by (3x - 5). What are the dimensions of this rectangle in centimeters?

A With = 10 and length = 25
B With = 12 and length = 29
C With = 14 and length = 31
D With = 16 and length = 32

Answer 1

Perimeter of a rectangle=2lenght + 2width
In this case:
Perimeter=90 cm
width=(x+2)
lenght=(3x-5)
Then:

2(x+2)+2(3x-5)=90
2x+4+6x-10=90
2x+6x=90+10-4
8x=96
x=96/8
x=12

with=(x+2)=12+2=14
lenght=(3x-5)=3*12-5=31

Answer: C width=14 and lenght=31.