+20

2 years ago

Mathematics

High School

Answer:

a. 314.2 in²

b. 36 m²

c. 60 m²

Step-by-step explanation:

The areas of these plane figures can be found by substituting the given dimensions into the area formula.

The area of a circle can be found from its diameter to be ...

A = (π/4)d²

A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²

__

The area of a parallelogram can be found as ...

A = bh

A = (9 m)(4 m) = 36 m²

The area of a triangle can be found from ...

A = 1/2bh

A = 1/2(15 m)(8 m) = 60 m²

_____

Additional comment

A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)

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Answer:a. 314.2 in²

b. 36 m²

c. 60 m²

Step-by-step explanation:The

areasof theseplane figurescan be found by substituting the given dimensions into thearea formula.## a.

The area of a circle can be found from its diameter to be ...

A = (π/4)d²

A = (π/4)(20 in)² = 100π in²

≈ 314.2 in²__

## b.

The area of a parallelogram can be found as ...

A = bh

A = (9 m)(4 m) =

36 m²__

## c.

The area of a triangle can be found from ...

A = 1/2bh

A = 1/2(15 m)(8 m) =

60 m²_____

Additional commentA triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)