2 years ago

The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.

1 answer:

6 0

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

You might be interested in

Multiply the polynomials. (5x2 + 2x + 8)(7x – 6) A. 35x3 – 16x2 – 44x – 48 B. 35x3 – 14x2 + 44x – 48 C. 35x3 – 16x2 + 44x + 48 D

ZanzabumX [31]

Answer:

D) 35x³ - 16x² + 44x - 48

Step-by-step explanation:

(5x2 + 2x + 8)(7x – 6) = (5x2 + 2x + 8)* 7x + (5x2 + 2x + 8)*(– 6)

= (5x2*7x + 2x*7x + 8*7x) + (5x2*(-6) + 2x*(-6) + 8*(-6) )

=35x³ + 14x² + 56x - 30x² - 12x - 48

= 35x³ - 16x² + 44x - 48

5 0