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The length of a rectangle is 9 feet longer than it is wide. If each side is increased 9 feet, then the area is multiplied by 4.

Sagot :

Answer:

Explanation:The length of a rectangle is 5 feet longer than it is wide. If each side is increased 5 feet, then the area is multiplied by 3. What was the size of the original rectangle? The width or short side is feet The length or long side is feet online

The Answer is

The original width=20/3

The length=(10+20/3)=50/3 ft

Given:

width=x ft

length=(x+10) ft

Area:

x(x+10) ft²

Step 1

Given that the sides are increased by 10, then the new dimensions will be:

width=(x+10) ft

length=(x+20) ft

Step 2

Therfore, the area will be:

(x+10)(x+20)=4×(x^2+10x)

solving for x we get:

x=-10 or x=20/3

Hence: the original width=20/3 and length=(10+20/3)=50/3 ft

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