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Pls answer PLZZ ik it’s hard but pls

Pls answer PLZZ ik it’s hard but pls-example-1

1 Answer

5 votes

Answers:

Claim: Area of triangle is 34 square feet

Answer: True

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Claim: Area of parallelogram is 56 square cm

Answer: False (it's actually 63 square cm)

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Claim: Area of trapezoid is 24 square inches

Answer: True

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Explanations:

To get the area of a triangle, multiply the base and height, then divide by 2

area of triangle = base*height/2

area of triangle = 10*6.8/2

area of triangle = 68/2

area of triangle = 34 square feet

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For a parallelogram, the area is simply base times height

area = base*height

area = 9*7

area = 63

It might help to rotate the figure so that the 9 cm side is completely horizontal.

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The trapezoid formula is a bit more tricky. We basically need to average the two parallel sides, then we follow the same basic path as the parallelogram route above.

The parallel sides are 9 and 7 inches which average to (9+7)/2 = 16/2 = 8. Note how 8 is directly between 7 and 9. Multiply the result 8 with the height 3 to get 8*3 = 24.

This is what it looks like when you use the trapezoid area formula


A = (h*(b_1+b_2))/(2)\\\\A = (3*(7+9))/(2)\\\\A = (3*16)/(2)\\\\A = (48)/(2)\\\\A = 24\\\\

The 0.5 inch portion is never used.

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