The perimeter of a rectangle is 38 ft. The length is 9 ft longer than the width. Find the demensions. Write a system of linear e

Question

erastova [34]

4 years ago

6

The perimeter of a rectangle is 38 ft. The length is 9 ft longer than the width. Find the demensions. Write a system of linear e

quations and solve the resulting system. Let x be length and y be width.

Mathematics

1 answer:

nikdorinn [45] · Answer 1 · 2021-11-18T15:30:53+03:00

nikdorinn [45]4 years ago

8 0

P=38
P=2x+2y=2(x+y)
x=9+y

so
38=P=2(x+y)
38=2(x+y)
divide both sides by 2
19=x+y
x=9+y
19=9+y+y
19=9+2y
minus 9 both sides
10=2y
divide by 2
5=y
sub back
x=9+y
x=9+5
x=14

x=14
y=5