Question

Area of a Ilgm is 48cm. Its base and altitude are in the ratio of 1: 3. Find the length of its base

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Answer 1

Answer:

area of ||gm is base×altitude

if we take base as x then altitude is 3x ..frm here we can get 3x^2=48 ..

on solving x^2=16 ,, x=4 so base is 4

Answer 2

Answer:

The base of the ||gm is 4cm.✔

Step-by-step explanation :

Question :

A ||gm having area of 48cm².Its base and altitude is in ratio 1 : 3. Find it's base.

Step 1 :

Assuming the base and the altitude as “1x” and “3x” respectively.

Step 2 :

→ Area of a ||gm is given by : base × height

Given dimensions of the parallelogram :

→ Area of the ||gm = 48cm²

→ base = 1x

→ height = 3x

From the given dimensions :

→ Area of the ||gm = 1x • 3x

→ 48 = 3x²

→ 48/3 = x²

→ 16 = x²

→ √16 = x

→ x = 4cm.

Therefore the base is 4cm. ✔