Question

the ratio of base to height of a parallelogram is 1:2 if the area of a parallelogram is 450 m square then find the its breath and height

Answer 1

Answer:

Breadth = 15 m

Height = 30 m

Step-by-step explanation:

Given, $\frac{Base of the Parallelogram}{Height of the Parallelogram}$ = $\frac{1}{2}$

cross multiply the terms,

Height  = 2 x Base of the Parallelogram

for simplicity we will assume Height = h and Base =b

then h = 2b----------------------------equation 1

they already given the area of the Parallelogram = 450 $m^{2}$

Area of Parallelogram = Base x Height

450 = bh

450 = b x (2b) {substituted the value of h from equation 1 ]

450 = 2$b^{2}$

225 = $b^{2}$

b = $\sqrt{225}$ = 15 m = Base of the Parallelogram

substitute the value of b in Equation 1 to get h (Height)

h = 2b = 2 x 15 = 30 m

Hence,

Base of the parallelogram = 15 m

Height of the Parallelogram  = 30 m

Answer 2

Answer:

We know area of parallelogram is base*height (bh)

We know Area = 450m

Step-by-step explanation:

Let the base be 1x

and, height be 2x

Therefore,

1x*2x = 450

2x²=450

x²= 450/2

x²=225

x²=15²

The Powers are same so we can conclude the bases to be same

Therefore,

x=15

=> Base=15m

   height=15m*2= 30m