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erastovalidia [21]
3 years ago
8

What is the area of this figure?

Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles

<em>Solution; 290.5 square miles</em>

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Step-by-step explanation:

Easiest way to solve this is add and subtract till we get the values balanced.

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11 am $14.27

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2 pm $14.45

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3 0
4 years ago
A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55
Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

\frac{sin A}{a} = \frac{sin B}{b}

\frac{sin 55}{a} = \frac{sin 62.5}{150}

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = \frac{ 122.8728066}{sin(62.5)}

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet



5 0
4 years ago
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