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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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Luda [366]
EQUATION 1: x-y=12
EQUATION 2: 3x+y=4

STEP 1:
solve for one variable in equation 1

x - y= 12
add y to both sides

x= 12 + y


STEP 2:
use x value from step 1 and substitute in equation 2

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3(12 + y) + y= 4
multiply 3 by parentheses

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multiply inside parentheses

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subtract 8 from both sides
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CHECK:
x= 4, y= -8

3x + y= 4
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ANSWER: The x value is 4 and the y value is -8.

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