what is the area of this figure? write your answer using decimals, if necessary. square inches
what is the area of this figure? write your answer using decimals, if necessary. square inches
Answer
Explanation:
Step1: Divide the figure into shapes
Divide the figure into a triangle and three rectangles.
Step2: Calculate the area of the triangle
The base of the triangle is 19 in and the height is (7 + 5=12) in. The area formula for a triangle is (A_{triangle}=\frac{1}{2}\times base\times height). So (A_{triangle}=\frac{1}{2}\times19\times12 = 114) square - inches.
Step3: Calculate the area of the first rectangle
The first rectangle has dimensions 15 in by 4 in. The area formula for a rectangle is (A = l\times w). So (A_1=15\times4 = 60) square - inches.
Step4: Calculate the area of the second rectangle
The second rectangle has dimensions 6 in by 4 in. So (A_2 = 6\times4=24) square - inches.
Step5: Calculate the area of the third rectangle
The third rectangle has dimensions 9 in by 5 in. So (A_3=9\times5 = 45) square - inches.
Step6: Calculate the total area
The total area (A = A_{triangle}+A_1+A_2+A_3). (A=114 + 60+24 + 45=243) square - inches.
Answer:
243