Chapter 11.9, Problem 1BGP

To determine

To determine the area of the composite figure.

Answer to Problem 1BGP

  $193$ square feet.

Explanation of Solution

Given information: Figure consists of a triangle, with base $b=8$ feet and height $h=10$ feet. Parallelogram with base $B=17$ feet and height $H=9$ feet.

Formula used: Area of triangle $a=\frac{1}{2}\times b\times h$ and area of parallelogram $A=B\times H$ .

Calculation: Area of triangle $a=\frac{1}{2}\times b\times h$ .

  $=\frac{1}{2}\times 8\times 10$

  $=40$ square feet.

Area of the parallelogram $A=B\times H$

  $=17\times 9$

  $=153$ square feet

Adding A and a would give the area of the composite figure.

  $=153+40$

  $=193$ square feet.