 # word problem..... We are interested in the dimensions of a certain rectangle. This rectangle has len

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avxxv_xnar17

Mathematics

### Question Description

We are interested in the dimensions of a certain rectangle. This rectangle has length twice the side of the square and width three units less than the side of this square. If the two areas are equal, what are the rectangle's dimensions (w x h) Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. let the sides of the square be S, the length of the rectangle will be 2S and the width will be S-3.

Area of square=S*S

Area of the rectangle= 2S(S-3)=2S^2-6S

but the areas are equal, therefore, 2S^2-6S=S^2

2S^2-S^2-6S=0

S^2-6S=0

S(S-6)=0, meaning that S=0 or S-6=0, but S cannot be 0, therefore S-6=0; S=6

the dimensions of the rectangle are length=2(6)=12 and width S-3=6-3=3

area of rectangle is 3*12= 36 square units ZnguUryc01 (10)
Carnegie Mellon University Anonymous
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