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topjm [15]
3 years ago
14

What is the area, in square feet, of the shaded part of the rectangle below?

Mathematics
1 answer:
likoan [24]3 years ago
8 0
<h3>Answer:  208</h3>

===============================================

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

--------------------

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft

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Answer:

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Step-by-step explanation:

1. Convert the mixed number to an improper fraction to match the rest of the problem (this just makes it easier for now, the answer will still be a mixed number)

-1\frac{4}{5} becomes \frac{9}{5}

2. Re-write the new equation. When there is a "+" in front of a set of parentheses the expression doesn't change aside from removing the plus signs.

The new equation becomes

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3. Calculate. Just work out the new expression.

The answer is \frac{27}{20}

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27 goes into 20 once with seven left over, making the answer 1\frac{7}{20}

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Answer:

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