Use the formula to find the length of the base next to the goal given that the height of the trapezoid is 11ft and the base farthest from the goal is 28ft

b1 = 22 ft

the length of the base next to the goal is 22 ft

Step-by-step explanation:

From the given formula;

Area A = 1/2 * (b1 + b2) h ... 1

Given;

Area A = 275ft^2

base b2 = 28 ft

base b1 = ?

height h = 11 ft

From equation 1;

Making b1 rhe subject of formula;

A = 1/2 * (b1 + b2) h

Multiply through by 2;

2A = (b1+b2) h

b1+b2 = 2A/h

b1 = 2A/h - b2 ... 2

Substituting the given values into equation 2;

b1 = 2 (275) / 11 - 28

b1 = 50 - 28

b1 = 22 ft

the length of the base next to the goal is 22 ft