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Natasha_Volkova [10]
3 years ago
12

What is the area, in square centimeters, of the figure shown?

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
4 0
For this one, instead of breaking it down into 3 shapes we can simply subtract the missing square area from the total enclosing area...

15*8-4*4

120-16

104 cm^2
ExtremeBDS [4]3 years ago
4 0

Answer:

95\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the whole rectangle minus the area of the smaller square

<u>Find the area of the whole rectangle</u>

The formula to calculate the area of rectangle is equal to

A=bh

where

b is the base

h is the height

we have

b=8\ cm

h=15\ cm

substitute

A=8*15=120\ cm^{2}

<u>Find the area of the smaller square</u>

The formula to calculate the area of the square is equal to

A=b^{2}

where

b is the length side of the square

we have

b=15/3=5\ cm

substitute

A=5^{2}=25\ cm^{2}

<u>Find the area of the figure</u>

A=120\ cm^{2}-25\ cm^{2}=95\ cm^{2}



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