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Find value of x value of parallelogram: 48height: xbase: x+6

User Dlcardozo
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1 Answer

4 votes

1) Let's sketch that

The area of the parallelogram is base x height so we can write:

x(x+6) =48

x²+6x = 48 Completing the square

x² +6x +9 = 48 +9

(x+3)²= 57

√(x+3)² =√57

x+3 = √57

x_1=√57-3,

x_2=-√57-3

Since there can't be negative numbers for geometric measures

x=√57-3 ⇒ 7.55 -3 x =4.55 (approximately)

Find value of x value of parallelogram: 48height: xbase: x+6-example-1
Find value of x value of parallelogram: 48height: xbase: x+6-example-2
User Henrik Olsson
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