If the length of a rectangle is increased by 25%, by what percentage should the width of the rectangle be decreased to maintain a constant area ?
a. 5%
b. 10%
c. 15%
d. 20%
e. 25%
please answer and explain
L = Length
W = Width
25 % = 25 / 100 = 0.25
100 % = 100 / 100 = 1
100 % = 1 + 0. 25 = 1.25
A = L * W
1.25 * L * W * n = L * w Divide both sides by L * W
1.25 n = 1 Divide both sides by 1.25
n = 1 / 1.25
n = 0.8
0.8 = 80 / 100 = 80 %
100 % - 80 % = 20 %