Question

A rug is shaped like a parallelogram with a base of 41⁄2 ft. and a height of 2 1⁄4 ft. What is the area of the rug? Draw and label the dimensions of the shape then find the area.

Answer 1

46.125 square feet or
`46(1)/(8)` sq. feet.

Explanation:

The rug is shaped like a parallelogram with a base of
`(41)/(2) = 20.5` feet. and a height of
`2(1)/(4) = 2.25` feet.

Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.

Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)