CPM Homework Help : AC Problem 7-112

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7-112.

Complete each generic rectangle below and write the area as a sum and as a product.

Generic Rectangle
left edge top
interior top left
interior top right $10xy$
left edge bottom is4
interior bottom left
interior bottom right
bottom edge left $3$
bottom edge right $5x$
Hint 1(a):
First figure all of the dimensions of the rectangle by dividing the known area by the given side.
$10xy$ divided by $5x$ is $2y$ .
Generic Rectangle
left edge top $2y$
interior top left
interior top right $10xy$
left edge bottom is4
interior bottom left
interior bottom right
bottom edge left $3$
bottom edge right $5x$
Hint 2(a):
To show the area as a product, write the dimensions multiplied together.
Answer 1(a):
$\left(2y + 4\right)\left(5x + 3\right)$
Hint 3(a):
Find the areas of all of the sections by multiplying the dimensions together, then add the areas to express as a sum.
Generic Rectangle
left edge top $2y$
interior top left
interior top right $10xy$
left edge bottom is4
interior bottom left $12$
interior bottom right $20x$
bottom edge left $3$
bottom edge right $5x$
Answer 2(a):
$6y + 20x + 10xy + 12$

Generic Rectangle
left edge top $5$
interior top left $10x$
interior top right
left edge bottom
interior bottom left $4x^2$
interior bottom right
bottom edge left
bottom edge right $-3$
Hint (b):
Use the same method from part (a) to solve part (b).

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