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:
