Question

A figure can be broken into a parallelogram and triangle.

Which formulas will you use to find the area of this irregular figure? Select all that apply.
A = one-half b h
A=b+h
A=bh
A=2bh
A=2(b+h)

Answer 1

the answer is the first and a=b+h

Answer 2

(a) A = 1/2bh

(c) A = bh

Explanation:

You want the formulas for the area of a triangle and the area of a parallelogram.

Area formulas

The formula for the area of a triangle is ...

A = 1/2bh

The formula for the area of a parallelogram is ...

A = bh

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Additional comment

The formula for the area of a trapezoid is ...

A = (1/2)(b₁ +b₂)h

A trapezoid is a quadrilateral with two parallel sides. These parallel sides are the bases, b₁ and b₂.

A parallelogram has bases of the same length. Using that fact in the formula gives ...

A = (1/2)(b +b)h = (1/2)(2b)h = bh . . . . area of a parallelogram

In a triangle, one of the bases is zero length. Using that fact in the formula gives ...

A = (1/2)(b +0)h = 1/2bh . . . . area of a triangle

The perimeter of a rectangle has the formula ...

P = 2(b +h)

It should not be confused with an area formula.