SOLUTION: The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting? A. 9 inches B. 12 inches C. 1

Algebra.Com
Question 939239: The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A.
9 inches
B.
12 inches
C.
13 inches
D.
18 inches

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The length of a rectangular painting is longer than its width .

If the diagonal long, what is the length of the painting?
use Pythagorean theorem since the length, the width, and the diagonal of the rectangle form right triangle

...solve for


....divide by
...factor, write as
...group
...factor


solutions:
if => ...since we are looking for a width we cannot use negative solution
if =>...this is our solution
now find the length



and your answer is
B.
inches

RELATED QUESTIONS

the length of a rectangular painting is 3 inches. longer than it's width. If the diagonal (answered by fractalier)
The length of a rectangular painting is 7 inches longer than its width. If the diagonal... (answered by Alan3354)
the length of a rectangular painting is 3 inches greather than its width. The area of the (answered by josgarithmetic)
A painting canvas has a length of 6 inches longer than its width. If the area is 91... (answered by checkley77)
A painting canvas has a length 8 inches longer than its width. If the area is 84 in^2,... (answered by solver91311,rfer)
The length of a rectangle is 2 times longer than its width. If the diagonal of the... (answered by macston)
A Painting canvas has a length 8 inches longer than its width. if the area is 84in^2 what (answered by jim_thompson5910)
A painting canvas has a length 7 inches longer than its width. If the area is 78 in^2,... (answered by jojo14344)
A painting canvas has a length 6 inches longer than its width. If the area is 112 in^2,... (answered by midwood_trail)