Question

. A parallelogram-shaped piece of stained glass
has a base measuring 2 1/2 inches and a height
of 1 1/4 inches. What is the area of the piece of
stained glass?

Answer 1

Given:

The piece of stained glass is in the shape of a parallelogram.

Base of a stained glass = $2 \frac{1}{2}$ inch

Height of a stained glass= $1 \frac{1}{4}$ inch

To find:

Area of the piece of stained glass.

Solution:

Area of the parallelogram formula:

Area = base × height

        $=2 \frac{1}{2}\times1 \frac{1}{4}$

Converting mixed fraction into improper fraction.

        $= \frac{2\times2+1}{2}\times \frac{1\times4+1}{4}$

        $= \frac{5}{2}\times \frac{5}{4}$

Multiply two fractions.

        $= \frac{25}{8}$

Converting improper fraction into mixed fraction.

        $= 3\frac{1}{8}$

The area of the piece of stained glass is $3\frac{1}{8}$ square inches.