The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of ...
The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square?
Answer/Solution
None of these
Steps/Work
Let original length of each side = x cm.
Then, its area = (x2)cm2.
Length of rectangle formed = (x + 5) cm
and its breadth = x cm.
∴ x+5/x=3/2 ⇔ 2x + 10 = 3x ⇔ x = 10
∴ Original length of each side = 10 cm and its area = 100 cm2
Answer E
Then, its area = (x2)cm2.
Length of rectangle formed = (x + 5) cm
and its breadth = x cm.
∴ x+5/x=3/2 ⇔ 2x + 10 = 3x ⇔ x = 10
∴ Original length of each side = 10 cm and its area = 100 cm2
Answer E