A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the area of the new rectangle?

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Area of the rectangle(A) is given by:

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangle has an area of 72 in²

⇒A = 72 in²

then;

It is given that:

The length and the width of the rectangle are changed by a scale factor of 3.5.

Length of new rectangle become = 3.5l

Width of new rectangle become = 3.5 w

then;

Area of new rectangle  = (Length of new rectangle)(Width of new rectangle)

⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)

Substitute the given values we have;

Therefore, the area of the new rectangle is, 882 in²

the area of the new rectangle is 882 in^2

Step-by-step explanation:

Area of new rectangle = (3.5l)(3.5w) = 12.25

12.25 x 72 = 882

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step-by-step explanation:

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