Question

In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral? (A) 17 (B) 18 (C) 19 (1) 32 (E) 34

Answer 1

(B) 18.

Explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

`\text{Perimeter of quadrilateral}=8+1+8+1`

`\text{Perimeter of quadrilateral}=16+2`

`\text{Perimeter of quadrilateral}=18`

Therefore, the perimeter of the given quadrilateral is 18 units.