Question

The ratio of base to height of a parallelogram is 1:2. If the area of parallelogram is 450 sq metre, then find its base 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}

HeightoftheParallelogram

BaseoftheParallelogram

= \frac{1}{2}

2

1

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}m

2

Area of Parallelogram = Base x Height

450 = bh

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

450 = 2b^{2}b

2

225 = b^{2}b

2

b = \sqrt{225}

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

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