Demi is working on a presentation about a famous mathematician for her math class. She decides to make her poster in the shape o
f a plus sign.
1 answer:
The question is incomplete. The complete question is:
Demi os working on a representation about a famous mathematician for her math class. She decides to make her poster in the shape of a plus sign. What is the total area of Demi's poster? The image and the measurements of the poster are in the attachment.
Answer: Total area = 1360 square inches
Step-by-step explanation: From the attachment, the poster is formed by two rectangles one over the other and a central part, which is a square. So, the total area is the area of the 2 rectangles minus the area of the square
A = Ar - As
As these forms are regular, the area of both is A = width * length
Area of the 2 rectangle:
width = 20 in
length = 12+20+12 = 44 in
There are 2, then:
Ar = 2.20.44
Ar = 1760
Area of the square:
width = length = 20
As = 20²
As = 400
Total Area:
At = Ar - As
At = 1760 - 400
At = 1360
The total area of the poster is <em><u>1360 square inches</u></em>.
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