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Answer:
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
To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1
Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:
The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"
Next multiply the result by the third fraction -2/5
This time you are multiplying a positive and a negative number, so the result of the calculation will be negative
Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form: