A rectangle on a coordinate plane has vertices Q(-1, 1), R(6,1), S(6,-8), and T(-1,-8). What are the dimensions of the rectangle?

Question

asked Dec 24, 2021 28.4k views

2 Answers

Asongtoruin · Answer 1 · 2021-12-30T09:08:38+0000

Answer:

The length is 9.

The width is 7.

Explanation:

A rectangle has two dimensions.

The width, which is the distance between the points who have the same value of y.

The length, which is the distance between the points who have the same value of x.

Distance between 2 points:

Points (a,b) and (c,d).

$D = \sqrt{(c-a)^(2) + (d-b)^(2)}$

Same value of x:

(-1,1), (-1-8) or (6,1), (6,-8)

The distance for both of them is the same, can calculate for only one.

$L = \sqrt{(6-6)^(2) + (-8 - 1)^(2)} = √(81) = 9$

The length is 9.

Same value of y:

(-1,1), (6,1) or (6,-8), (-1,-8)

$W = \sqrt{(6 - (-1))^(2) + (1 - 1)^(2)} = √(49) = 7$

The width is 7.