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Sergeeva-Olga [200]
3 years ago
14

Please help thank you.

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0
This problem can be completed in 2 ways. Both are acceptable.

Option 1:


This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

9 \times 4=36

The area of one of the triangles is half the base times the height.

\dfrac{1}{2} \times 5 \times 4 = 10

The other triangle must have that area too.

36+10+10=56

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

A=\dfrac{b_1+b_2}{2} \times h

Where b_1 is the length of the shorter base
and b_2 is the length of the longer base
and h is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

A=\dfrac{9+19}{2} \times 4

=56

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.
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