Question

The formula for the area of a rectangle is A = lw.

What is the area of rectangle ABCD? Round the answer to the nearest whole, if necessary.

50 square units
51 square units
52 square units
53 square units

Answer 1

52

Explanation:

got 100%

Answer 2

Correct choice is C: 52 square units

Explanation:

Rectangle ABCD has vertices at points A(-1,6), B(4,5), C(2,-5) and D(-3,-4). The segment AB is rectangle width and the segment BC is rectangle length. Then

`AB=√((-1-4)^2+(6-5)^2)=√((-5)^2+1^2)=√(25+1)=√(26)\ un.,\\ \\BC=√((2-4)^2+(-5-5)^2)=√((-2)^2+(-10)^2)=√(4+100)=√(104)=2√(26)\ un.`

Then the areq of the rectangle is

`A=AB\cdot BC=√(26)\cdot 2√(26)=2√(26\cdot 26)=2\cdot 26=52\ un^2.`