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2 years ago

What is the area of the shape

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

The area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively, option (a) is correct.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

We know the area of the kite = pq/2

Where p and q are the length of the diagonals

p = 10+10 = 20 ft

q = 7+11 = 18 ft

Area = (20×18)/2

Area = 180 square feet

Thus, the area of the shape is 180 square feet if the length of the diagonals are 20 and 18 ft respectively option (a) is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

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In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

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Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

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TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

$\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}$

Now, as can be clearly seen, to find y we will use the first two ratios as:

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$\frac{8}{20}=\frac{5}{x+3}$

After cross multiplication we get:

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Therefore, the required answer is:

x=9.5 and y=8.8

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Step-by-step explanation:

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Alekssandra [29.7K]

Answer:

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To select the formula for h (height) let's make h the subject of the formula as follows:

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3 years ago

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