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oksano4ka
19 days 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 [8.8K]19 days 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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Answer:

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Step-by-step explanation:

The problem states that qrs is a right triangle,

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          sr =?

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          qt =?

1)

Calculate sr

hypotenuse² = base² + height²

sq² = sr² + rq²

25² - 20² = sr²

sr = √(25² - 20²)

sr = 15

2)

When altitude rt is dropped to hypotenuse qs, it creates

two right triangles: rtq and rts.

Δrtq

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hypotenuse = qt = 20

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Both triangles share the same height, which is rt

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50x = 450

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                         tq = 16  

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