If each side of a square is increased by 25%, find the percentage change in its area?
let each side of the square be a , then area = a x a
As given that The side is increased by 25%, then
New side = =
New area =
Increase %= % = 56.25%
If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Let original radius = R.
New radius = =
Original area = and new area =
Decrease in area = = 75%
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Let the side of the square(ABCD) be x meters.
Then, AB + BC = 2x metres.
AC = = (1.41x) m.
Saving on 2x metres = (0.59x) m.
Saving % = = 30% (approx)
If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
let length = x and breadth = y then
2(x+y) = 46 x+y = 23
x²+y² = 17² = 289
now (x+y)² = 23²
289+ 2xy = 529
xy = 120
area = xy = 120 sq.cm
The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Let breadth = x m
Then, length = (x+5)m
x(x+5) = 750
x² + 5x - 750= 0
x = 25
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