Question

PLEASE HELP WITH EXPLANATION!!!

Four times the width of the rectangle is three less than three times the length. The perimeter is 30 cm. Find the width and length of the rectangle.

Answer 1

Length=9 and width =6

Explanation:

4w=3L-3

2L+2w=30

Dividing both sides of the second equation by 2

L+w=15

Subtracting w from both sides

L=15-w

Substituting in the first equation

4w=3(15-w)-3

4w=45-3w-3

7w=42

W=6

Substituting the value of w in the first equation

4(6)=3L-3

24=3L-3

27=3L

L=9