Question

the upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. the rectangle has a perimeter of 24 units. draw the rectangle on the coordinate plane below.

Explanation:

Step1: Calculate top side length

$\text{Length} = 3 - (-1) = 4$

Step2: Use perimeter to find height

Let height = $h$. Perimeter formula: $2(l+h)=24$
Substitute $l=4$: $2(4+h)=24$
Solve for $h$: $4+h=12 \implies h=8$

Step3: Find bottom coordinates

Subtract height from y-coordinate:
Bottom-left: $(-1, 4-8)=(-1,-4)$
Bottom-right: $(3, 4-8)=(3,-4)$

Answer:

The rectangle has vertices at $(-1, 4)$, $(3, 4)$, $(3, -4)$, and $(-1, -4)$. To draw it, plot these four points and connect them with straight lines.