Question

Find the base of a parallelogram whose area is 2.75 square metres and 2.5 metres

Answer 1

Complete Question :

Find the base of a parallelogram whose area is 2.75 m² and height is 2.5 m.

Answer :

›»› The base of a parallelogram is 1.1 m.

Given :

• Area of a parallelogram = 2.75 m².
• Height of a parallelogram = 2.5 m.

To find :

• Base of a parallelogram = ?

Solution :

Let us assume that, the base of a parallelogram is x m.

As we know that

→ Area of parallelogram = base * height

→ 2.75 = x * 2.5

→ 2.75 = 2.5x

→ x = 2.75 ÷ 2.5

→ x = 2750 ÷ 2500

→ x = 275 ÷ 250

→ x = 55 ÷ 50

→ x = 1.1

Hence, the base of a parallelogram is 1.1 m.

Verification :

→ Area of parallelogram = base * height

→ 2.75 = 1.1 * 2.5

→ 2.75 = 2.75

Here, LHS = RHS

Hence Verified !

Answer 2

Answer:

$\huge { \bold {\tt {given}}}$

• Area of parallelogram = 2.75 metres
• Height of parallelogram = 2.5 metres

$\huge { \bold {\tt {to \: find}}}$

Base of parallelogram

$\huge { \bold {\tt {answer}}}$

First we have to convert them into like terms

$2.75 \mapsto \: 275 \: cm$

$2.5 \: m \: \mapsto \: 250 \: cm$

As we know that Area of parallelogram = base × height

Let the base be x

$275 \: = x \times 250$

$2750 = 2500x$

$\frac{275}{250}$

$= 1.1 \: m$

Therefore required base for the Parallelogram is 1.1 metre.