The area of a rectangle is 221 m square and its length is 4m more than its breadth what is the measure of its breadth search
Answers
Answer:
Step-by-step explanation:
Answer:
The measure of its breadth can be either 13m or 17m.
Let the breadth(b) be xm. So the length(l) becomes (x + 4)m.
The Area of the rectangle is 221 m².
According to the formula,
Area of the rectangle = l * b
221 = x(x + 4)
221 = x² + 4x
x² + 4x - 221 = 0
x² + (17 - 13)x - 221 = 0
x² + 17x - 13x -221 = 0
x(x - 17) -13(x - 17) = 0
(x - 17)(x - 13) = 0
So either, Or,
x - 17 = 0 x - 13 = 0
which means x = 17 which means x = 13.
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