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RoseWind [281]
2 years ago
5

Mike is reading instructions for assembling a tree house. The instructions include a scale drawing of the floor plans of the tre

e house that shows the floor as a square with 4-inch-long sides. The scale of the drawing is 12 inch = 2 feet. If Mike were to build a tree house according to the floor plans, what would be the area of the floor of the tree house in square feet? _________
Mathematics
1 answer:
laila [671]2 years ago
7 0
Answer: 144 square feet

Explanation: It says that the square has sides that are 4 inches long, which means that all of the sides are 4 inches long. If two inches is 12 feet, then all you have to do is multiply it by 2, since the sides are 4 inches. That means that all sides are 24 ft long. Now just calculate the area by multiplying the length and the width to get 144 square feet.
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3 years ago
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Answer:

l=31\ cm\\\\w=24\ cm

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

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And, according to the exercise, its lenght is 7 more than its width; then:

l=w+7

Then, you can make the corresponding substitution into the formula A=lw:

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Simplify:

744=w^2+7w\\\\w^2+7w-744=0

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Then, you get:

(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31

The width of the rectangle is the positive value:

w=24\ cm

Then, the lenght is:

l=24+7\\\\l=31\ cm

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3 years ago
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