Respuesta :

racheleve003

Answer:

A) 32.5 *but there's a typo... it's supposed to be 23.5)

Step-by-step explanation:

The area of the whole triangle is 31.5 sq. in. Then, subtracting the area of the cutout (8 sq. in.) from the triangle (31.5 sq. in.) will give you a final answer of 23.5 sq. in. I think the teacher messed up and did 32.5 instead of 23.5

debmc7
Agree with first person’s answer of 23.5

Picture the whole big red triangle with no piece cut out. The area of that triangle is:
A = 1/2 base • height
A = 1/2 (7)(9)
because to get the full base size you have to add the 2 from the cut out rectangle, and to get the full height size you have to add the 4 from the cut out rectangle.
A = 1/2 (63) = 31.5

Then we subtract the area of the cutout rectangle. That area = length • width = 4 • 2 = 8.

31.5 - 8 = 23.5 square inches

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