The area of a rectangular playground is 16 square yards. the length of the playground is 4 times longer than its width. find the

Question

almond37 [142]

3 years ago

8

The area of a rectangular playground is 16 square yards. the length of the playground is 4 times longer than its width. find the

length and width of the playground.

Mathematics

1 answer:

OLga [1] · Answer 1 · 2021-11-28T23:00:41+03:00

W= width
l= length= 4w

Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w

LENGTH
l=4w
l=4(2)
l=8 yards

CHECK:
16= (8)(2)
16= 16

ANSWER: The length is 8 yards and the width is 2 yards.

Hope this helps! :)