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elena-s [515]
3 years ago
8

[find the area please explain steps]​

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Length of base of the top triangle = 23 inches

Length of height of the top triangle = 47 inches

Area of the top triangle :

=  \frac{1}{2}   \: \times \:  base  \: \times \:  height

=  \frac{1}{2}  \times 23 \times 47

=  \frac{1}{2}  \times 1081

=  \frac{1081}{2}

= \color{hotpink} \: 540.5 \: \:sq.  inches \:

Thus, area of the top triangle = 540.5 sq.inches

Length of base of the bottom triangle = 47 inches

Length of height of the bottom triangle = 46 inches

Area of the bottom triangle :

=  \frac{1}{2}   \: \times  \: base \:  \times height

=  \frac{1}{2}  \times 47 \times 46

=  \frac{1}{2}  \times 2162

= \color{hotpink}1081 \:sq. inches

Area of the bottom triangle = 1081 sq.inches

Area of the total figure :

= Area of top triangle + Area of bottom triangle

= 540.5 + 1081

= \color{hotpink}\bold{1621.5 \:  \:  sq.inches}

Therefore, the area of the figure = 1621.5 sq.inches

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