Question

A table-to measures 2m25cm by 1m50cm. What is the perimeter of the table top?

Answer 1

Hint: The given problem is related to the perimeter of a rectangle. Convert the sides into the same units, then use the formula of perimeter of the rectangle. The perimeter of a rectangle is given as:
Perimeter of the rectangle=2(length+ breadth)
The conversion formulae used in the solution are:
1m=100cm

Complete step-by-ste answer:

Before proceeding with the solution, let’s understand the concept of perimeter. Perimeter of a closed polygon is defined as the sum of the lengths of the sides. In case of a rectangle, the opposite sides are equal. So, the perimeter of the rectangle will be equal to twice the sum of adjacent sides, i.e. Perimeter of the rectangle=2(length+ breadth).
Now, coming to the question, we are given that the length of the table top is 2m 25cm , and the breadth of the table top is 1m 50cm. Let’s draw a diagram for better visualization of the problem.

We know, 1m = 100cm. So, the length of the table top will be (2(100)+25)cm = 225cm, and the breadth of the table will be (1(100)+50)cm = 150cm.
We know the perimeter of the rectangle=2(length+ breadth).
Now, we will substitute length and the breadth of the table in the perimeter formula.
Perimeter of the rectangle=2(length+ breadth)
=2(225+150)cm
=2(375)cm
=750cm
Therefore, the perimeter of the table is 750cm.

Note: Before proceeding with the calculations, make sure the uniformity of the units is maintained. Convert the dimensions into the same units. Here, we converted the dimensions into centimeters. We can convert the dimensions in meters. But then it would involve decimals. So, it is more convenient to convert the dimensions into centimeters.