Question

Mohan has a field with a square shaped garden now. He wants to plant flowers in the
garden.
If he enlarges the garden by increasing the width by 1 meter and length by 3 meters, the
area will be 19 square meters more than the present area.
1. Question: What is the length of a side now?
a) 16m c) 4m
b) 6m d) 2m

Answer 1

Step-by-step explanation:

Options c) 4m.........

Answer 2

Given:

Mohan has a field with a square shaped garden now. He wants to plant flowers in thegarden. If he enlarges the garden by increasing the width by 1 meter and length by 3 meters, the area will be 19 square meters more than the present area.

To Find:

What is the length of a side now?

Solution:

Let the side of the garden(square) is x m. Then the are is x² m².

The new length is (x+3) m and the new width is (x+1) m. Then the new area will be, (x+3)(x+1) m².

By the given question,

(x+3)(x+1)=x²+19

or, x²+3x+x+3=x²+19

or, 4x+3=19

or, 4x=19-3

or, 4x=16

or, x=4 m

Hence, the length of a side now is 4m (option c).