Question

In a parallelogram the base and height are in the ratio of 5:2. If the area of the parallelogram is 360m, find its base and height.

Answer 1

Step-by-step explanation:

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Answer 2

Base = $30\sqrt2$       height = $12\sqrt2$

Step-by-step explanation:

Let the number be x then,

Base = 5x    

height = 2x

area = 360

$\frac{1}{2}\times b\times h=360\\\frac{1}{2}\times 5x\times 2x=360\\10x^2=360\times2\\10x^2=720\\x^2=72\\x=\sqrt{72} \\x=6\sqrt2$

base =

$5x=5\times6\sqrt2\\=30\sqrt2$

height =

$2x=2\times6\sqrt2\\=12\sqrt2$