CPM Homework Help : AC Problem 5-16

Find the total area of each rectangle below. Each number inside the rectangle represents the area of that smaller rectangle, while each number along the side represents the length of that portion of the side.

Generic rectangle
left edge top
interior top left $12$
interior top right $39$
left edge bottom
$11$
interior
bottom left blank
interior
bottom
right blank
bottom edge left $4$
bottom edge right blank
Hint (a):
Generic rectangle
left edge top $3$
interior top left $12$
interior top right $39$
left edge bottom $11$
interior
bottom left blank
interior
bottom
right blank
bottom edge left $4$
bottom edge right $13$
Find the sides that you know from the products within the boxes.
$12\div4=3$

$39\div3=13$
Hint 2(a):
Now find the areas of all of the boxes inside the rectangle.
Add them together for the total area of the rectangle.
$12+39+44+143$
Answer (a):
$238$

Generic rectangle interior top left blank
interior top right $18$
interior bottom left $40$
interior bottom right blank
bottom edge left $8$
bottom edge right $6$

Hint (b):

Use the same strategy for part (b).