a bookcase is to be constructed as shown in the figure below. the height of the bookcase is 2 feet longer than the length of a s

Question

2 years ago

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a bookcase is to be constructed as shown in the figure below. the height of the bookcase is 2 feet longer than the length of a s

helf. if 22 feet of lumber is available for the entire unit including the shelves but NOT the back of the bookcase find the length and height of the unit.

Mathematics

1 answer:

In-s [12.5K] · Answer 1 · 2022-12-30T19:22:59+03:00

The length of the shelf is 10 feet while its height is 10 feet.

<h3>Equation</h3>

Equation is an expression used to show the relationship between the sides and angles of a right angled triangle.

Let x represent the shelf length and y represent the shelf height.

The height of the bookcase is 2 feet longer than the length of a shelf. hence:

y = x + 2
-x + y = 2 (1)

Also, 22 feet of lumber is available:

x + y = 22 (2)

From equation 1 and 2:

y = 12, x = 10

The length of the shelf is 10 feet while its height is 10 feet.

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