A new Community Sport complex is being built in safe harbor the perimeter of the rectangular playing field is 402 yards the leng

Question

3 years ago

5

th of the field is 9 yards less than quadruple the width what are the dimensions of the playing field?

1 answer:

ivanzaharov [21] · Answer 1 · 2021-12-18T07:11:45+03:00

Answer:

<h2>length = 159 yards</h2><h2>width = 42 yards</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 402 yards

The statement

the length of the field is 9 yards less than quadruple the width is written as

l = 4w - 9

Substitute this is expression into the above formula and solve for the width

That's

402 = 2( 4w - 9) + 2w

402 = 8w - 18 + 2w

10w = 402 + 18

10w = 420

Divide both sides by 10

Substitute this value into l = 4w - 9

That's

l = 4(42) - 9

l = 168 - 9

Therefore

length = 159 yards

width = 42 yards

Hope this helps you