thanks psyDAG for answering the question below but, can you show how to solve using an equation..x=length and y=width?
a frame is made from a 28 inch length of trim and surrounds a 48 square inch picture. solve for the dimensions of the picture
To solve this problem using equations, we can assign variables to the dimensions of the picture. Let's use x for the length and y for the width.
According to the given information, a frame made from a 28-inch length of trim surrounds a 48 square inch picture.
To find the dimensions of the picture, we need to set up an equation based on the given information.
The length of the frame (trim) will be equal to twice the sum of the length and width of the picture, because each side of the frame surrounds the picture.
So, the equation will be:
2(x + y) = 28
We also know that the area of the picture is 48 square inches. The area of a rectangle is given by the length multiplied by the width.
So, another equation can be set up:
x * y = 48
Now we have a system of two equations:
2(x + y) = 28
x * y = 48
From here, we can solve this system of equations to find the dimensions of the picture.