College

The area of the trapezoid is 176 cm². The height is 16 cm, and the length of one of the parallel sides is 9 cm. Find the length of the second parallel side.

Answer :

Final answer:

To determine the length of the second parallel side of the trapezoid with an area of 176 cm² and one side of 9 cm, we use the area formula for a trapezoid. After setting up the equation and performing algebraic manipulation, we find that the second parallel side is 13 cm long.

Explanation:

To find the length of the second parallel side of the trapezoid, we can use the formula for the area of a trapezoid. The area A of a trapezoid with parallel sides of lengths a and b, and height h, is given by:

A = ½ (a + b) h

In this case, the area A is 176 cm², one parallel side length a is 9 cm, and the height h is 16 cm. We need to find the second parallel side length b.

We set up the equation using the given values:

176 = ½ (9 + b) × 16

To solve for b, we first divide both sides by 16:

11 = ½ (9 + b)

And then multiply by 2 to eliminate the fraction:

22 = 9 + b

Finally, we subtract 9 from both sides to find b:

b = 22 - 9 = 13 cm

The length of the second parallel side of the trapezoid is 13 cm.

Answer:

44,55,77

Ratio is 11/1

Step-by-step explanation:

176=4x+5x+7x

176=16x

11=x

44,55,77

Step-by-step explanation: