Concept explainers
(a)
To write: The expression for the total area of both rooms.
(a)

Answer to Problem 11E
(a) The final answer of first expression
Explanation of Solution
Given information:
The length of living room
The length of game room l ft
Breadth of room
Calculation:
First of all we find the length of room
This is in the shape of rectangle now find the area of rectangle ABCD.
Area of rectangle ABCD =
Area of rectangle ABCD =
(b)
To calculate:
Write a second expression for the total area by finding the area of each room separately and then adding the two areas.
(b)

Answer to Problem 11E
(b) The total area is
Explanation of Solution
Calculation:
Now when we solve the separately to find the area then now the find area of both rectangle ABCD and EFGH
First of all find the area of rectangle ABCD
Hence, Area of rectangle ABCD
Now, Area of rectangle EFGH
Now add the both area of find total area
Total area of rectangle = area of rectangle ABCD + area of rectangle EFGH
Total area =
(c)
To Show: The expression from parts (a) and (b) are equivalent.
(c)

Explanation of Solution
Calculation:
(c)
Both the expression in above two part are equivalent
First
Hence both are equivalent
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Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook
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