Given:
A composite shape consisting of three rectangles with different lengths and widths.
To find:
The area of the composite shape.
Solution:
To find the area of the composite shape we must add the areas of all the three rectangles.
The upper rectangle has a length of 8 inches and a width of 4 inches.
The area of a rectangle [tex]= (l)(w).[/tex]
The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².
The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.
The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².
The lower rectangle has a length of 8 inches and a width of 1.5 inches.
The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².
The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².
The composite shape has an area of 62 in² which is option 3.
