Using Quadratic Formula to solve Quadratic Equations
Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q11 Download this solution
11. Sum of areas of two squares is
. If, the difference of their perimeters is 24 metres, find the sides of the two squares.
Solution:
Let perimeter of first square =
metres
Let perimeter of second square =
metres
Length of side of first square =
metres { Perimeter of square = 4 x length of side}
Length of side of second square =
metres
Area of first square = side x side =
Area of second square =
According to given condition, we have
Comparing equation
with standard form
, we get
and
.
Applying Quadratic Formula
, we get
Perimeter of square cannot be in negative. Therefore, we discard
.
Therefore, perimeter of first square = 48 metres
And, Perimeter of second square =
metres
Side of First square = Perimeter/4 = 48/4 = 12 metres
And, Side of second Square = Perimeter/4 = 72/4 = 18 metres
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