SOLUTION: The length of a rectangle is 4 centimeters more than the width. the measure of the diagonal is 10 centimeters. Find the dimensions of the the rectangle
I would appreciate help =
Algebra.Com
Question 238288: The length of a rectangle is 4 centimeters more than the width. the measure of the diagonal is 10 centimeters. Find the dimensions of the the rectangle
I would appreciate help =]
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
L=W+4
L^2+W^2=10^2
(W+4)^2+W^2=100
W^2+8W+16+W^2=100
2W^2+8W+16-100=0
2W^2+8W-84=0
2(W^2+4W-42)=0
W=(-4+-SQRT[4^2-4*1*-42])/2*1
W=(-4+-SQRT[16+168])/2
W=(-4+-SQRT184)/2
W=(-4+-13.565)/2
W=(-4+13.565)/2
W=9.565/2
W=4.78 ANS. FOR THE WIDTH
L=4.78+4=8.78 ANS. FOR THE LENGTH.
PROOF:
4.78^2+8.78^2=100
22.85+77.09=100
100~100
RELATED QUESTIONS
A rectangle has a diagonal that measures 10 centimeters and a length that is 2... (answered by checkley77)
A rectangle has a diagonal that measures 10 centimeters and a length that is 2... (answered by checkley77)
The length of a rectangle is 5 centimeters, and the width is 4 centimeters. Find the... (answered by solver91311)
A rectangle has a diagonal that measures 10 centimeters and lengh that is 2 centimeters... (answered by orca)
the diagonal of a rectangle is 2 centimeters longer than its length and 9 centimeters... (answered by Jolliano)
The length of a rectangle is 4 centimeters more than its width. If the length is... (answered by josgarithmetic)
The length of a rectangle is 4 centimeters longer than its width. The area of the... (answered by Boreal)
A rectangle’s length is 2 centimeters more than its width. The area of the rectangle is... (answered by Cromlix)
The length of a rectangle is 4 more than the width. The area is 357 square centimeters.... (answered by jorel1380,ikleyn)