Question

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

Answer 1

length = 8 yd and width = 2 yd

So, Option D is correct.  

Step-by-step explanation:

Area of rectangular playground = 16 square yards

Width of playground = w

Length of playground = l = 4w

We need to find length(l) and width(w)

The formula used is:

$Area = Length * Width$

Putting values:

$Area = Length * Width\\16=4w*w\\16=4w^2\\w^2=\frac{16}{4}\\w^2=4\\Taking\,\,square\,\,root:\\\sqrt{w^2}=\sqrt{4}\\ w=\pm 2$

Since width of rectangle is always positive, so we will take w = 2

So. Width = 2

Length = 4w = 4(2) = 8

Hence, length = 8 yd and width = 2 yd

So, Option D is correct.  

Keywords: Area of rectangle

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