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Question

A coordinate plane shows both the axes ranging from negative 9 to 9 in increments of 1. A rectangle is plotted on the graph. The plotted points of the rectangle are as follows: left parenthesis 3 comma negative 3 right parenthesis; left parenthesis 7 comma negative 3 right parenthesis; left parenthesis 7 comma negative 8 right parenthesis; and left parenthesis 3 comma negative 8 right parenthesis. A solid line connects the plotted points.

Rhonda is going to cover part of her yard in solar panels. If she adds a second panel to the right so that they are touching, what will the total area be for the two solar panels?

(1 point)
Responses

40 sq. ft.
40 sq. ft.

80 sq. ft.
80 sq. ft.

20 sq. ft.
20 sq. ft.

18 sq. ft.
18 sq. ft.
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Answer 1

The area of the rectangle formed by the four plotted points can be calculated by finding the length and width.

Length = 7 - 3 = 4
Width = -8 - (-3) = -5

To find the total area when adding a second panel to the right, we need to double the length:
New Length = 2(4) = 8

The total area of the two solar panels will be:
Total Area = New Length x Width
Total Area = 8 x (-5) = -40 sq. ft.

Therefore, the correct answer is 40 sq. ft.