CPM Homework Help : AC Problem 1-23

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1-23.

The area of each rectangle below is shown in the middle of the rectangle. For each figure, find the missing length or width.

Left edge, blank
interior $\text{A} = 60\;\text{un}^2$
bottom edge $8$
Hint (a):
The area of a rectangle is the product of the length and width.
Step 1 (a):
Substitute the area and the unknown
length or the width into the equation
$A=l·w$ .
Step 2 (a):
Solve for the unknown variable.
Answer (a):
$60=\text{length}\cdot 8$
$\frac{ 60 }{ 8} = \frac{ \text{length }\cdot 8 }{8 }$ $\text{length }= \frac{ 60 }{8 } = 7.5$

Hint (b):
Try not to be confused by the orientation of the rectangle. Solve as in part (a).

interior $\text{A} = 231 \; \text{un}^2$
right edge $14$
bottom edge, blank

Hint (c):

See the example below.

interior $20 \; \text{units}^2$

right edge $5$

bottom edge, blank

$20=5\ ·$ length
$\frac{ 20 }{ 5} = \frac{ 5 \cdot \text{length} }{5 }$
$\text{length }= \frac{ 20 }{ 5} = 4$

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