SOLUTION: The length and width of a rectangle are given by consecutive integers. The area of the rectangle is 12cm2. Approximate the length of a diagonal of the rectangle to three decimal p
Algebra.Com
Question 713120: The length and width of a rectangle are given by consecutive integers. The area of the rectangle is 12cm2. Approximate the length of a diagonal of the rectangle to three decimal places.
A). 5.624 cm2
B). 5.628 cm2
C). 5.657 cm2
D). 5.625 cm2
E). 5 cm2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The sides of the rectangle must measure 3cm and 4cm, because those are the only consecutive positive integers that multiply to give 12.
A right triangle with legs measuring 3 and 4 cm has a hypotenuse measuring 5 cm.
You could calculate it using Pythagoras, but (3,4,5) is the most popular of the Pythagorean triples
(and the only one I remember).
So the diagonal measures 5 cm.
(Someone got too enthusiastic with the squares and added 2 as exponent to all the answers, but le.gths are measured in plain cm; square cm are for measuring surface area).
RELATED QUESTIONS
The length and width of a rectangle are given by consecutive integers. The area of the... (answered by jim_thompson5910)
The width and length of a rectangle are given by two consecutive odd integers. The width... (answered by ankor@dixie-net.com)
the length and width of a rectangle are given by consecutive integers. the area of the... (answered by checkley77,solver91311)
The length and width of a rectangle are given by consecutive integers.
The area of the... (answered by richard1234,oberobic)
The width and length of a rectangle are given by two consecutive odd integers. Write an... (answered by jorel1380)
the length in centimeters of two sides of a rectangle are consecutive odd integers. the... (answered by checkley77)
The width and length of a rectangle are consecutive integers. If the perimeter of the... (answered by sudhanshu_kmr)
The width and length of a rectangle are consecutive integers. If the perimeter of the... (answered by josgarithmetic)
the width, length, and diagonal of a rectangle are consecutive even integers. What are... (answered by robertb)