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3 years ago

What’s the missing length??

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer: Side p = 33.9 mi

Step-by-step explanation: The figure in the question is a trapezoid with the area already given as 792.965.

The unknown side p is one of the two bases (parallel lines) in the trapezoid. The area of a trapezoid is given as

Area of trapezoid = {(a + b)/2} x H

Where H is the vertical height and a and b are the parallel lines

The area of the trapezoid can now be properly expressed as

792.965 = {(15.2 + p)/2} x 32.3

By cross multiplication we now have

792.965/32.3 = (15.2 + p)/2

(792.965/32.3) x 2 = 15.2 + p

49.1 = 15.2 + p

Subtract 15.2 from both sides of the equation

33.9 = p

Therefore the missing length (side p) equals 33.9 mi

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Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

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