SOLUTION: In a rectangle the lenght is 2cm longer than it's width & a diagonal is 10cm. What is the area?? PLease tell me the answer and how did u get it. ^^ tnx

Question 358387: In a rectangle the lenght is 2cm longer than it's width & a diagonal is 10cm. What is the area??
PLease tell me the answer and how did u get it. ^^ tnx
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
In a rectangle the lenght is 2cm longer than it's width & a diagonal is 10cm. What is the area??
let the width be x cm
length = x+2 cm.
..
diagonal = 10 cm.
the diagonal and the sides of the rectangle form a right triangle with diagonal as the hypotenuse.
use pythagoras theorem
.
leg1^2+leg2^2= hypo^2
x^2+(x+2)^2= 10^2
x^2+x^2+4x+4 = 100
2x^2+4x+4-100=0
2x^2+4x-96=0
/2
x^2+2x-48=0
x^2+8x-6x-48=0
x(x+8)-6(x+8)=0
(x+8)(x-6)=0
x=6 which is positve
width 6 cm
length = 8 cm.
Area = L*W
Area = 6*8=48 cm^2
...
m.ananth@hotmail.ca
RELATED QUESTIONS
the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. (answered by ewatrrr)

A field in a shape of rectangle it lenght i 4units longer than its width if its area is... (answered by ikleyn)

can you please show me and explain EACH step in setting up and solving the following... (answered by Earlsdon)

if the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet... (answered by nycsub_teacher)

The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm long, find... (answered by jim_thompson5910,swincher4391)

A rectangle is 3cm longer and 2cm less in width than a certain square. The area of the... (answered by JBarnum)

if a rectangle has width of 5 and diagonal with lenght of 13, what is the area of the... (answered by nerdybill)

A rectangle-shaped x-ray film has an area of 80 square inches. The lenght is 2 inches... (answered by harpazo)

a rectangle is 3cm longer than it is wide. IF the length and width of the rectangle are... (answered by mukhopadhyay)