SOLUTION: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension.

SOLUTION: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension.

Algebra.Com

Question 928127: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Applying Pythagorean Theorem

.
(d-2)^2 + (d-9)^2 = d^2
d^2 -4d + 4 + d^2 - 18d + 81 = d^2
d^2 - 22d + 85 = 0
(d-17)(d-5) = 0
d = 5, 17
Dimensions are: 5cm by 17cm
RELATED QUESTIONS
the diagonal of a rectangle is 2 centimeters longer than its length and 9 centimeters... (answered by Jolliano)

THE LENGTH OF A RECTANGLE IS 12 CM GREATER THAN ITS WIDTH. IF THE PERIMETER OF THE... (answered by josgarithmetic)

what is the dimension to the word problem A rectangle has a perimeter of 18 cm. Its... (answered by colliefan)

The diagonal of a rectangle is 2 ft longer than its length and 5 feet longer than its... (answered by MathLover1,edjones)

The length of a rectangle is 7 cm greater than its width, and a diagonal of the rectangle (answered by mananth)

the length of a rectangle is 12 cm greater than its width, the perimeter of this... (answered by Cromlix)

If the length of a rectangle is 3 feet longer than its width and the diagonal is (answered by solver91311)

Problem solving with equations A rectangle has length 2cm longer than its width and... (answered by EdenWolf)

A certain rectangle's length is 5 feet longer than its width. If the area of the... (answered by oberobic)