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on a coordinate plane, the vertices of a rectangle are (2,4), (2,-1), (-5,-1) and (-5,4). What is the perimeter of the rectangle?

2 Answers

4 votes
5+5+7+7 is equal to 24 which is the perimeter
User Last
by
8.5k points
5 votes

Answer:


P=24\ units

Explanation:

we know that

The perimeter of the rectangle is equal to


P=2L+2W

where

L is the length side

W is the width side

In this problem we have


A(2,4),B(2,-1),C(-5,-1),D (-5,4)

using a graphing tool

Plot the points

see the attached figure to better understand the problem


L=BC


W=AB

the formula to calculate the distance between two points is equal to



d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}


Find the distance BC


B(2,-1),C(-5,-1)

substitute


dBC=\sqrt{(-1+1)^(2)+(-5-2)^(2)}


dBC=√(49)=7\ units

Find the distance AB


A(2,4),B(2,-1)

substitute


dAB=\sqrt{(-1-4)^(2)+(2-2)^(2)}


dAB=√(25)=5\ units

Find the perimeter

we have


L=dBC=7\ units


W=dAB=5\ units

substitute


P=2(7)+2(5)=24\ units

on a coordinate plane, the vertices of a rectangle are (2,4), (2,-1), (-5,-1) and-example-1
User Chilltemp
by
7.8k points

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