Back to Create equations and inequalities — Problem 3 · Task Set 23

HSA.CED.A.1 Tutor Intake — Creating Equations and Inequalities

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Grade 9·8 problems·~12 min·Common Core Math - HS Algebra·standard·hsa-ced-a-1

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Procedures

A rectangular garden has a perimeter of 32 meters. One side has length
$x$ meters, so the adjacent side has length $(16 - x)$ meters.

Set up and expand the area equation: $A = x(16 - x)$ .

If the area equals 48 square meters, write the equation in standard form
$ax^2 + bx + c = 0$ and find the positive value of the constant $c$ .