SOLUTION: Please help me solve the following word problem: A picture frame measures 12 centimeters by 20 centimeters. 48 cm^2 of the picture shows inside the frame. Find the length and wid

Algebra.Com
Question 269822: Please help me solve the following word problem: A picture frame measures 12 centimeters by 20 centimeters. 48 cm^2 of the picture shows inside the frame. Find the length and width of the inside of the frame.
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Assume that the 48 cm^2 is centered in the picture. We get
(i)
foil the left to get
(ii)
set = 0 and in descending order, we get
(iii)
factoring, we get
(iv)
solving for x, we get
x = 4
or
x = 12
the dimensions of the inside of the frame are: 4 x 12

RELATED QUESTIONS

A picture frame measures 12 cm by 20 cm, and 84 cm^2 of picture shows. Find the width of... (answered by stanbon)
*******A picture frame is 20 cm by 12 cm. There are 84cm^2 of a picture showing. Find the (answered by Paul)
A picture frame measures 14 cm by 20 cm. 160 cm^2 of the picture shows inside the frame.... (answered by checkley77)
Please help me solve this word problem A picture 8 in. by 12 in. is placed in a frame... (answered by josgarithmetic)
A rectangular picture is 6 cm longer than it is wide. A wide frame 1 cm wide is placed... (answered by lynnlo)
Please help me solve this problem: A square picture is mounted in a frame 1 cm... (answered by checkley77)
the perimeter of a square picture frame is 48 inches. one side length of the frame is... (answered by josgarithmetic)
please help me solve this problem- A painting is 48 cm by 64 cm. if the wood used to make (answered by ankor@dixie-net.com)
please help. A rectangular picture frame measures 25 cm by 29 cm. What is the... (answered by Fombitz)