Find the area of this shape. The area of this shape is _______ square centimeters.
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Answer:
Step-by-step explanation:
area =(4+4+4)/2×2+1/2×(4+4)×5.75
=12+23.00
=35 sq.cms.
Step-by-step explanation:
Area of triangle = [tex]\frac{1}{2}[/tex](b*h)
Area of rectangle = b*h
[tex]A(big-triangle) = \frac{1}{2} (5.75*4)[/tex]
[tex]A(big-triangle) = \frac{1}{2}(23)[/tex]
[tex]A(big-triangle) = 11.5[/tex]
Since there are two big triangles, then we can multiply 11.5 by 2.
11.5 * 2 = 23
[tex]A(small-triangle) = \frac{1}{2}(2*2)[/tex]
[tex]A(small-triangle) = \frac{1}{2} (4)[/tex]
[tex]A(small-triangle) = 2[/tex]
Since there are two small triangles, then we can multiply 2 by 2.
2 * 2 = 4
[tex]A(rectangle)= 4 * 2[/tex]
[tex]A(rectangle) = 8[/tex]
Now, we can add up all of the areas so we can find the total area of the entire shape.
23 + 4 + 8 = 35
So, the area of the entire shape is 35 square cm.