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Solves practical sums based on square and square root.
Q.5
Do as directed.
1. In a shop, same number of biscuits are there in each packet as the number of packet of biscuits. There are total 2304 biscuits in the shop then how many
packets of biscuits are there in the shop?
2. The area of a square garden is 2025 sq.cm. What is the length of the side of square?
Answers
Answer:
You need to use your information about area and perimeter to set up two equations with two variables representing length and width of the rectangle. Then you will set up a quadratic equation. Let's use L for the length and W for the width of the rectangle:
For the perimeter:
2L + 2W = 66 or
L + W = 33 or
W = 33 - L
For the area:
LW = 252
Now substitute W = 33 - L from the first equation into the second one:
L(33 - L) = 252 or
33L - L2 = 252 or
L2 - 33L + 252 = 0
This can be solved by factoring, or by using the quadratic equation.
By factoring:
(L - 12)(L - 21) = 0 or
L = 12, or L = 21
In this case, let's use 21 because length is usually the longer dimension. Now we substitute L = 21 into the first equation to find W.
W = 33 - 21 or
W = 12
Your answers are: Length = 21 and Width = 12