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Find the area of trapezoid by decomposing it into other shapes.

A. 35 cm
B. 39 cm
C. 40 cm
D. 48 cm​

Find the area of trapezoid by decomposing it into other shapes. A. 35 cm B. 39 cm-example-1
User RoyBarOn
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2 Answers

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Correct answer would be c! Hope this helps
User Erkmene
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Answer:

A. 35 cm

Explanation:

The given trapezoid can be decomposed into a rectangle and a triangle by drawing a line down from the top to the bottom to make a right triangle on the right side of the figure. This will give you a rectangle with side lengths of 5cm and 6cm and a triangle with a base of 2cm and height of 5 cm.

The area of a rectangle is length x width:

A = 5 x 6 = 30 cm²

The area of a triangle is 1/2 (base x height):

A = 1/2 (5 x 2) = 5 cm²

Add the two areas together for the total area:

30 cm² + 5 cm² = 35 cm²

User Marsbard
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