Question

I need explanations. I don't understand this. Please click on the picture.

Answer 1

1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh

the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given

so:

a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches

since there are two triangles, you would multiply the area by 2

a=2(288)
a=576 sq. inches

now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.

a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches

that is your answer