Question

find the coordinates of the rectangle and use them to compute the area
(1 point)
27 units²
24 units²
30 units²
12 units²

Explanation:

Step1: Find the length of the rectangle

The length of the rectangle is the distance between \(x -\)coordinates of \(B(4,3)\) and \(A(- 5,3)\) (since \(y -\)coordinates are same). Using the formula \(d=\vert x_2 - x_1\vert\), \(l=\vert4-(-5)\vert = 8\) units.

Step2: Find the width of the rectangle

The width of the rectangle is the distance between \(y -\)coordinates of \(A(-5,3)\) and \(D(-5,0)\) (since \(x -\)coordinates are same). Using the formula \(d=\vert y_2 - y_1\vert\), \(w=\vert3 - 0\vert=3\) units.

Step3: Calculate the area of the rectangle

The area of a rectangle is \(A = l\times w\). Substituting \(l = 8\) and \(w = 3\), we get \(A=8\times3=24\)

Answer:

24 units²