Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The length of a rectangle picture frame is 3 inches greater than its width. The area if the picture frame is 40 square inches. Find the dimensions of the picture frame

Sagot :

Let x be the width of the frame.

Then, x + 3 is the length of the frame.

The area of a rectangle is the product of its length and its width.

So, x(x+3) = 40

x^2 + 3x = 40

x^2 + 3x - 40 = 0

(x-5)*(x+8)=0

x-5 = 0 or x+8 = 0

x = 5 or x = -8

x = 5

The width is 5 and the length is 5 + 3 = 8