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2 years ago

What is the area of the composite figure

Mathematics

1 answer:

lara [203]2 years ago

4 0

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area + Right-triangle Area

= 168 cm² + 48 cm²

= 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

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