Question

the graph in the xy - plane models the possible combinations of length x, in meters (m), and width y, in meters, for a rectangle with a perimeter of 26 m. which statement is the best
a the length is 9 m less than the perimeter, and the width is 4 m less than the perimeter.
b the length is 9 m, and the width is 4 m.
c the length is 4 m, and the width is 9 m.
d the length is 4 m less than the perimeter, and the width is 9 m less than the perimeter.

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(x + y)$. Given $P=26$, we have $2(x + y)=26$, which simplifies to $x + y=13$.

Step2: Analyze graph points

From the graph, we can see that when $x = 9$, $y = 4$ (since the line representing $x + y=13$ passes through the point $(9,4)$).

Answer:

B. The length is 9 m, and the width is 4 m.