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Harrizon [31]
3 years ago
5

The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and

width of the playground.
Mathematics
2 answers:
Julli [10]3 years ago
6 0
Length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10
strojnjashka [21]3 years ago
6 0

Answer:

The length of the playground is 10 yards

The width of the playground is 5 yards.

Step-by-step explanation:

Given: The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width.

Area = 50 square yards

Length = 2*width = 2w

Area of the playground = length*width

50 = 2w *w

2w^2 = 50

Dividing both sides by 2, we get

2w^2/2 = 50/2

w^2 = 25

Taking square root on both sides, we get

w = √25

w = 5 yards

Now let's find the length.

Length = 2 * width

= 2*5

length = 10 yards

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