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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Practice Test

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Exercise 27 Page 267

Use the formula for the area of a rectangle.

H

Let's look at the given rectangle.

To find its area, we will use the formula for the area of a rectangle. Let's substitute the given values into the formula.

A = l w

l= 2sqrt(14), w= sqrt(7)

A = 2sqrt(14)* sqrt(7)

SplitIntoFactors

Split into factors

A = 2sqrt(2* 7)* sqrt(7)

sqrt(a* b)=sqrt(a)*sqrt(b)

A = 2sqrt(2)* sqrt(7)* sqrt(7)

sqrt(a)* sqrt(a)= a

A = 2 sqrt(2) * 7

Multiply

A = 14sqrt(2)

The area of the rectangle is 14sqrt(2). Therefore, the correct answer is H.