Question

eris is reviewing the blueprint shown of a stage he is planning to build for his band. by what percentage should he multiply the dimensions of the stage so that the dimensions of the image are 1/2 the size of the original blueprint? what will be the perimeter of the updated blueprint? the perimeter of the updated blueprint will be units.

Explanation:

Step1: Find the percentage multiplier

To make the dimensions $\frac{1}{2}$ the size of the original, the multiplier is $\frac{1}{2}=0.5$. As a percentage, $0.5\times100 = 50\%$.

Step2: Calculate the original perimeter

The original - shape can be thought of as a rectangle - like figure. The sum of the lengths of all sides of the original shape: $10 + 4+2 + 4+2+10+2 + 8+2+2+2+2=48$ units.

Step3: Calculate the new perimeter

Since each dimension is multiplied by $\frac{1}{2}$, the new perimeter is also multiplied by $\frac{1}{2}$. So the new perimeter is $48\times\frac{1}{2}=24$ units.

Answer:

He should multiply the dimensions by $50\%$. The perimeter of the updated blueprint will be $24$ units.