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The Oak View Middle School cheer squad made a banner to bring out for a football game against their school's biggest rival. The banner is shaped like a triangle with an area of 2020 square feet. The banner is 44 feet tall.\newlineWhich equation can you use to find the length of the banner's base, bb?\newlineChoices:\newline(A) 20=4b20 = 4b\newline(B) 20=12b(4)20 = \frac{1}{2}b(4)\newlineWhat is the length of the banner's base?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ feet\newline

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Q. The Oak View Middle School cheer squad made a banner to bring out for a football game against their school's biggest rival. The banner is shaped like a triangle with an area of 2020 square feet. The banner is 44 feet tall.\newlineWhich equation can you use to find the length of the banner's base, bb?\newlineChoices:\newline(A) 20=4b20 = 4b\newline(B) 20=12b(4)20 = \frac{1}{2}b(4)\newlineWhat is the length of the banner's base?\newlineWrite your answer as a whole number or decimal. Do not round.\newline____ feet\newline
  1. Calculate Area Formula: To find the base of the triangle, we need to use the formula for the area of a triangle, which is Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}. Here, the area is given as 2020 square feet and the height as 44 feet.
  2. Simplify Equation: Plugging in the values into the formula: 20=12×b×420 = \frac{1}{2} \times b \times 4. Simplify the right side by multiplying 12\frac{1}{2} by 44, which equals 22. So, the equation becomes 20=2b20 = 2b.
  3. Divide to Find Base: To find bb, divide both sides of the equation by 22. So, b=202b = \frac{20}{2}.
  4. Calculate Base Length: Calculate bb: 20/2=1020 / 2 = 10. Therefore, the length of the banner's base, bb, is 1010 feet.

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