1. Look at the Big Picture
1 answer:
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Answer:
Length of the shorter side = -10 units or 22 units.
Explanation:
Let x = length of the longer side of the rectangle
Let y = length (width or breadth) of the shorter side of the rectangle
Given the following data;
x = y + 12
Area = 220 units
<em>We know that the area of a rectangle is given by the formula;</em>
<em>Substituting into the equation, we have;</em>
<em>Rearranging the equation, we have;</em>
<em>Solving the quadratic equation by factorization, we have;</em>
Factors are = -10 and 22
Therefore, y = 10 units or -22 units
To find the value of x;
<em>When y = 10 units</em>
x = y + 12
<em>Substituting into the equation;</em>
x = 10 + 12 = 22
x = 22
<em>When y = -22 units</em>
x = y + 12
<em>Substituting into the equation;</em>
x = -22 + 12 = -10
x = -10
<u>Check;</u>
<em>When x = 22 and y = 10</em>
A = L * W = 22 * 10 = 220 units
<em>When x = -10 and y = -22</em>
A = L * W = -10 * -22 = 220 units