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jean143965
23.11.2020 •
Mathematics
A rectangular frame has length (x+2) units and width (x-2) units. If the area is 96 square units, what is the value of x?
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Ответ:
Please check the explanation.
Step-by-step explanation:
As we know that the area of a rectangle is defined by multiplying the length by the width.
Given
rectangular frame length = l = (x+2) unitsrectangular frame width = w = (x-2) unitsArea = 96 square unitssubstituting all the given values in the formula to find the value of x.
subtract 96 from both sides
Putting x = -10 in the length and width will make the length and width negative, which can not be possible.
i.e.
length = l = x+2 = -10+2 = -8 units
width = w = x-2 = -10-2 = -12 units
Therefore, x=-10 must be excluded.
Now, putting the length of x = 10.
i.e.
length = l = 10+2 = 10+2 = 12 units
width = w = x-2 = 10-2 = 8
96 = 12 × 8
96 = 96
Therefore, the correct value of x = 10
Ответ: