Answer: A=26.75 units
Step-by-step explanation:
you need to find the area of each part, then add the areas together
area of small triangle to the left:
to find the area you plug in the area of a triangle formula
A= [tex]\frac{1}{2}[/tex]bh (b=base, h=height)
A=0.5 x 2 x 2
A = 2
area of square:
A=lw (l=length, w=width)
A=2 x 2 = 4
A=4
area or smaller triangle to the right:
use the triangle formula from before
A=[tex]\frac{1}{2}[/tex]bh
A=0.5 x 5 x 2
A = 5
area of big triangle at the top:
first, you add the 2, 2, and 5 from the top side of each previous shape to get the base length
2 + 2 + 5 = 9
now proceed with the area of a triangle formula
A=[tex]\frac{1}{2}[/tex]bh
A= 0.5 x 9 x 3.5
A = 15.75
now that we’ve gotten the area of each part, you simply add them together
area of whole shape:
A= 2 + 4 + 5+ 15.75 = 26.75
the area of the whole shape is 26.75 :)
