A rectangle with dimensions 21.6 × 12 has a right triangle with a base 9.6 and a height of 7.2 cut out of the rectangle. What is the area of the shaded region?

Josalynn

Josalynn

Answered question

2020-12-15

A rectangle with dimensions 21.6 × 12 has a right triangle with a base 9.6 and a height of 7.2 cut out of the rectangle. What is the area of the shaded region?

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2020-12-16Added 109 answers

The area of the shaded region is the area of the rectangle minus the area of the right triangle:
Ashaded=Arectangle−Atriangle
Ashaded=lw12bh
Ashaded=(21.6)(12)−1/2(9.6)(7.2)
Ashaded=259.2−34.56
Ashaded=224.64 square units
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

Answer is given below (on video)

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