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Bond [772]
2 years ago
7

The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width​

Mathematics
2 answers:
Inessa05 [86]2 years ago
5 0

Answer:

35

Step-by-step explanation:

Make equations, l = w+5 and 2l + 2w = 150

Substitute w+5 into 2l + 2w = 150

Simplify to get 4w + 10 = 150

Subtract 10 from both sides to get 4w = 140

Divide both sides by 4 and you get 35 as width

VikaD [51]2 years ago
5 0

Answer:

The width of the field is 35 meters.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by:

\displaystyle P = 2(w+\ell)

Where <em>w</em> is the width and <em>l</em> is the length of the rectangle.

We know that the perimeter is 150 meters. Thus:

150=2(w+\ell)

Divide both sides by two:

75=w+\ell

We are given that the length is five meters longer than the width. So:

\ell = w+5

Substitute:

75=w+(w+5)

Combine like terms:

75=2w+5

Subtract five from both sides:

70=2w

And divide both sides by two. Hence:

w=35

Thus, the width of the rectangular field is 35 meters.

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