Question

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

Answer 1

Answer:

Step-by-step explanation:

area of parallellogram= base x height

                                     = 5x X 2x

                                      =10x^2

10x^2=360m^2

x^2= 36

x= 6

base= 5 x 6=30m

height= 2x6= 12m

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Answer 2

Let

base = 5x m

height = 2x m

Area of the parallelogram = 360 m²

⇒ base*height = 360

⇒ 5x*2x = 360

⇒ 10x² = 360

⇒ x² = 360 ÷ 10

⇒ x² = 36

⇒ x = √36

⇒ x = 6

Base = 5x = 5*6 = 30 m

height = 2x =2*6 = 12 m