In measuring the sides of a rectangle, one side is taken 9% in excess, and the other 8% in deficit.

In measuring the sides of a rectangle, one side is taken 9% in excess, and the other 8% in deficit. Find the error percent in the area calculated from these measurements.

Answer/Solution

0.28%

Steps/Work

Let x and y be the sides of the rectangle. Then, Correct area = xy.
Calculated area = (12/11) x (23/25) y = (358/357 )(xy)
Error In measurement = (358/357)xy- xy = (1/357)xy
Error percentage = [(1/357)xy (1/xy)100] % = (7/25) % = 0.28%.
Answer is E.

Geometry Calculator / Auto Solver

In measuring the sides of a rectangle, one side is taken % in excess, and the other % in deficit. Find the error percent in the area calculated from these measurements.

Calculated Answer

0.28

Step by Step Solution

In order to solve problem, you must evaluate n₀ - n₁ - (n₀ * n₁) / 100.

n₀ =	9
n₁ =	8

n₀ - n₁ - (n₀ * n₁) / 100
Evaluate n₀ - n₁ = 1
1 - (n₀ * n₁) / 100
Evaluate n₀ * n₁ = 72
1 - 72 / 100
Evaluate 72 / 100 = 0.72
1 - 0.72
Evaluate 1 - 0.72 = 0.28
0.28
The answer to the problem and the result of n₀ - n₁ - (n₀ * n₁) / 100 is 0.28

Quiz

Answer/Solution

Steps/Work

Geometry Calculator / Auto Solver

Calculated Answer

Step by Step Solution