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


2. Question:
Suppose he enlarges the garden, then find the maximum number of flowers
that can be planted in the garden such that the number of flowers on any side is equal to
the length of the side?
a) 40 flowers
c) 38 flowers
b) 35 flowers
d) 41 flowers





Pls include the explanantion tooo. I will mark u as the brainliest

Answer 1

Answer:

1.  Correct Option is c) 4m

2. Correct Option is b) 35 flowers.

Step-by-step explanation:

Let's assume the sides of the square garden is x meters

∴ (x + 1)(x + 3) - $x^{2}$ = 19

=> $x^{2}$ + 3x + x + 3 - $x^{2}$ = 19

=> 4x = 19 - 3 = 16

∴ x = 4

1.  Correct Option is c) 4m

2. After Mohan enlarges his garden, Width = 4 + 1 = 5m and Length = 4 + 3 = 7m

According to the problem, the Number of flowers every width side is 5 and that is length side = 7.

∴ Maximum number of flowers that can be planted = 5 x 7 = 35.

∴ Correct Option is b) 35 flowers.

Answer 2

Answer:

. Correct Option is c) 4m

2. Correct Option is b) 35 flowers.

Step-by-step explanation:

Let's assume the sides of the square garden is x meters

∴ (x + 1)(x + 3) - x^{2}x p

2

= 19

=> x^{2}x

2

+ 3x + x + 3 - x^{2}x

2

= 19

=> 4x = 19 - 3 = 16

∴ x = 4

1. Correct Option is c) 4m

2. After Mohan enlarges his garden, Width = 4 + 1 = 5m and Length = 4 + 3 = 7m

According to the problem, the Number of flowers every width side is 5 and that is length side = 7.

∴ Maximum number of flowers that can be planted = 5 x 7 = 35.

∴ Correct Option is b) 35 flowers.

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