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Lady_Fox [76]
3 years ago
13

A builder cuts a rectangular hole in a ceiling to install an exhaust fan. The width is 3 in. less than the length and the area i

s 180 in². Find the length and width of the hole.
Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Area of a rectangle = l * w

A = Area of a rectangle

l = length

w = width

In our problem,

l = x

w = x - 3

A = 180 square inches

Plug our numbers into the area formula of a rectangle

180 square inches = x(x-3)

Distribute the x into (x-3)

180 square inches = x^2 - 3x

subtract 180 from both sides

0 = x^2 - 3x -180.

Factor the express on the left side of the equation

0 = (x-15) (x+12).

Set each term equal to zero and solve for x

x+12 = 0.

Subtract 12 from both sides

x = -12 <--- lengths of a rectangle cannot be negative, therefore, we need to check the other term we factored.

set x-15 equal to zero

x-15 = 0.

Add 15 to both sides

x = 15.

We know l = x so now we know that the length i = 15 inches.

We also know that the width = length - 3

w = 15 - 3

w = 12

The width is 12 inches and the length is 15 inches

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Hi there! The answer is A. 252

To find the percentage of the customers who preferred the milk chocolate bar we need to know two things:

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Second we need to know how many of these customers preferred the milk chocolate bar. This bar is preferred by 28 people.

Now we can fill in the following formula, in order to find our percentage:
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