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the area of a playground is 8 square yards. the length of the playground is 2 times longer than it's width. find the length and width of the playground.

A. length = 4yd, width = 2yd
B. length = 1yd, width = 8yd
C. length = 2yd, width = 4yd
D. length = 8yd, width = 1yd​

Respuesta :

Answer:

A. length = 4yd, width = 2yd

Step-by-step explanation:

Given that

The area of a playground is 50 square yards

And, the length would be 2 times the width  

Here the area is 8 square yards

And, the length be 2w

where w denotes the width

Now as we know that

Area of the playground = length × width

8 = 2w × w

2w^2 = 8

Now Divide both sides by 2

So,  

2w^2 ÷ 2 = 8 ÷ 2

w^2 = 4

w = 2

And, length be

= 2 × 2

= 4 yards

hence, the correct option is A.  

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