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oksano4ka
2 months ago
9

Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in squa

re inches? Show your work What is the area of the base in square feet? Show your work
Mathematics
1 answer:
tester [12.3K]2 months ago
8 0

Answer:

Part a) The base's area is 7,176\ in^{2}

Part b) The base's area is 49\frac{5}{6}\ ft^{2}

Step-by-step explanation:

We understand that

The area of a rectangle is given by

A=LW

Part a)

We have

L=92\ in

W=78\ in

input values

A=92*78=7,176\ in^{2}

Part b)

We know that

1\ ft=12\ in

Convert inches to feet

92\ in=92/12\ ft

78\ in=78/12=6.5\ ft

insert into the formula

A=(92/12)*6.5=(598/12)\ ft^{2}

Convert to a mixed number

(598/12)\ ft^{2}=(588/12)+(10/12)=49+(5/6)=49\frac{5}{6}\ ft^{2}

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