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Lisa [10]
4 years ago
11

This figure is made up of a rectangle and parallelogram.

Mathematics
1 answer:
patriot [66]4 years ago
7 0

calculate length of the sides of the rectangle and multiply then do the same with the parallelogram

 Total area is 51 square units

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\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}

<h3>Answer: video tape cost $19 and DVD cost $32.</h3>
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3 years ago
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