Question

An image of a parallelogram is shown.

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

What is the area of the parallelogram?

four hundred twenty-three and one-half ft2
four hundred twenty-seven and one-half ft2
four hundred thirty-three and one-eighth ft2
four hundred fifty-five and one-eighth ft2

Answer 1

(c) 433 1/8 ft²

Explanation:

You want the area of a parallelogram with base 22 1/2 ft and height 19 1/4 ft.

Area

The area of a parallelogram is the product of its base and height:

A = bh

A = (22 1/2 ft)(19 1/4 ft) = 433 1/8 ft²

The area of the parallelogram is 433 1/8 ft², matching choice C.

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Additional comment

There are many ways to perform this arithmetic on mixed numbers. Perhaps the easiest is to use the decimal equivalents in your calculator. If you're doing this without a calculator, you can do ...

(22 1/2)(19 1/4) = (22)(19) +(1/2)(19) +(22)(1/4) +(1/2)(1/4)

= 418 +9 1/2 +5 1/2 +1/8 = 433 1/8

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