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

Question

Mark Bauer

Mathematics

8 November, 12:46

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

+5

Answers (1)

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Chase · 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.