Question

NO LINKS!!! URGENT HELP PLEASE!!!

1. What are the dimensions of the rectangle with an area of 175 square meters?

2. What is the fixed perimeter for the rectangles represented by the graph? Explain how you found the perimeter.

Answer 1

1. width = 35 m, length = 5 m

2. 80 m

Explanation:

Question 1

From inspection of the given graph, when y = 175, x = 5.

Therefore, when the area of a rectangle is 175 m², its length is 5 m.

The equation for the area of a rectangle is:

`\boxed{\sf Area=width * length}`

Therefore, to find the width of the rectangle, input the area of 175 m² and length of 5 m into the equation and solve for width:

`\begin{aligned}\sf Area&= \sf width * length\\\implies 175&=\textsf{width} * 5\\\sf width&=(175)/(5)\\\sf width&=35\; \sf m\end{aligned}`

Therefore, the dimensions of the rectangle with an area of 175 m² are:

• width = 35 m
• length = 5 m

Question 2

The equation for the perimeter of a rectangle is:

`\boxed{\sf Perimeter=2(width +length)}`

Given the width is 35 m and the length is 5 m:

`\begin{aligned}\implies \sf Perimeter=&2(35+5)\\&=2(40)\\&=80\; \sf m\end{aligned}`