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30 votes
30 votes
A home has a rectangular kitchen. If listed as ordered pairs, the corners of the kitchen are (11, 5), (−6, 5), (11, −2), and (−6, −2). What is the area of the kitchen in square feet?

119 ft2
49 ft2
48 ft2
15 ft2

User Maxxfrazer
by
3.4k points

1 Answer

25 votes
25 votes

Answer:

(a) 119 ft²

Explanation:

You want to know the area of a kitchen in square feet if its corners have coordinates (11, 5), (-6, 5), (11, -2) and (-6, -2).

Rectangle

The vertices of the kitchen floor are the corners of a rectangle. They lie on the grid lines x=11 and x=-6, which are 11 -(-6) = 17 feet apart, and they line on the grid lines y=5 and y=-2, which are 5 -(-2) = 7 feet apart.

The floor of the kitchen is a 17 ft by 7 ft rectangle, so has area ...

A = LW

A = (17 ft)(7 ft) = 119 ft²

The area of the kitchen is 119 square feet, matching choice A.

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User Melany
by
2.9k points
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