Question

1 a rectangle has vertices (-2, 6), (6, 6), (6, -1), and (-2, -1). graph the rectangle in the coordinate plane. what is the area of the rectangle? what is the perimeter of the rectangle? show your work.

Explanation:

Step1: Find length of rectangle

Find the difference in x - coordinates of two adjacent vertices to get the length. Using vertices (-2,6) and (6,6), length $l=\vert6 - (-2)\vert=8$.

Step2: Find width of rectangle

Find the difference in y - coordinates of two adjacent vertices to get the width. Using vertices (6,6) and (6, - 1), width $w=\vert6-(-1)\vert = 7$.

Step3: Calculate area

Use the formula $A = l\times w$. So, $A=8\times7 = 56$.

Step4: Calculate perimeter

Use the formula $P=2(l + w)$. So, $P=2(8 + 7)=2\times15 = 30$.

Answer:

Area: 56
Perimeter: 30