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3 years ago

Please helppppp!!!!!!!!

Mathematics

2 answers:

tester [92]3 years ago

8 0

Answer:

A=128 cm²

Step-by-step explanation:

Hi there!

We are given a trapezoid and we want to find the area of it

The area of a trapezoid is given as $\frac{a+b}{2}h$ , where a and b are the bases and h is the height

The bases are the parallel sides

They are the sides marked as 10 cm and 22 cm in this case

The height is the distance between the bases

In this case, it is the side marked as 8 cm

We know everything needed for the area, let's just label everything to avoid any confusion

a=10

b=22

h=8

Now substitute into the formula

A= $\frac{a+b}{2}h$

A= $\frac{10+22}{2}*8$

add the numbers on the numerator together

A= $\frac{32}{2}*8$

Divide 32 by 2

A=16*8

multiply

A=128 cm²

Hope this helps!

Drupady [299]3 years ago

7 0

Answer:

128 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases and h is the height

A =1/2( 10+22) * 8

A = 1/2 (32)8

= 128

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The area of the rectangle can be determined using the formula,

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Substituting the values, we have;

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Thus, the area of the rectangle is 55 square cm.

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The area of the circle can be determined using the formula,

$A_2=\pi r^2$

Substituting r = 12, we have;

$A_2= (3.14)(12)^2$

$A_2=452.16 \ cm^2$

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The area of the shaded region can be determined by subtracting the area of the rectangle from the area of the circle.

Thus, we have;

Area = Area of the circle - Area of the rectangle.

Substituting the values, we have;

$Area=452.16-55$

$Area=397.16 \ cm^2$

Thus, the area of the shaded region is 397.16 square cm.

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