Question

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you. A coordinate grid is shown with scale from negative 14 to 0 to positive 14 on both x- and y-axes at increments of 2. A figure ABCD is shown with A at ordered pair negative 10, 2, B at ordered pair 2, 2, C at ordered pair 2, negative 6, and D at ordered pair negative 10, negative 6.

Answer 1

we have that
A(-10,2)
B(2,2)
C(2,-6)
D(-10,-6)

using a graph tool
see the attached figure

the answer is
the dimensions of the rectangle are 12 units x 8 units

Answer 2

The dimensions of the rectangle is:

12 units × 8 units

Explanation:

We are given coordinates of rectangle ABCD by:

A(-10,2) , B(2,2) , C(2,-6) and D(-10,-6)

The length of the given rectangle is same as length of AB.

By using distance formula we will calculate the length of segment AB.

`Length\ AB=√((2-(-10)^2+(2-2)^2)\\\\\\Length\ AB=√(12^2+0^2)\\\\\\Length\ AB=12\ units`

and the width of rectangle is same as length of segment BC.

`Length\ BC=√((2-2)^2+(-6-2)^2)\\\\\\Length\ BC=√(0^2+8^2)\\\\\\Length\ BC=8\ units`

Hence, the dimensions of rectangle ABCD is:

12 units× 8 units