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marshall27 [118]
4 years ago
7

What is the area of this composite figure?

Mathematics
1 answer:
soldi70 [24.7K]4 years ago
8 0

Answer:

209 cm²

Step-by-step explanation:

This composite figure consist of two figures.

(1) Rectangle with length = 11 cm and width  = 16 cm.

(2) Triangle on the top of the rectangle with base = 11 cm and height = 6 cm.

Area of the rectangle = length × width

                                   = 11 × 16

                                   = 176 cm²

Area of the triangle = \frac{1}{2}(base) (height)

                                =  \frac{1}{2}(11) (6)

                                = 33 cm²

Total area = 176 + 33

                 = 209 cm²

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Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

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m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

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A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

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