A portrait has an area of 180 square inches. If the length of the portrait is 1 1/4 times the width, what are the dimensions of the picture?
(5/4)w * w = 180
Thank you, Damon!
To find the dimensions of the picture, we need to set up an equation based on the information given.
Let's say the width of the portrait is 'w' inches.
According to the given information, the length of the portrait is 1 1/4 times the width.
So, the length can be represented as 1.25w (since 1 1/4 is equivalent to 1.25).
Now, since the area of the portrait is 180 square inches, we can set up the equation:
Area = Length * Width
180 = (1.25w) * w
Now, let's solve this equation to find the width and length of the portrait.
180 = 1.25w^2
Divide both sides of the equation by 1.25:
144 = w^2
Taking the square root of both sides, we get:
w = 12
So, the width of the portrait is 12 inches.
Now, we can substitute this value back into our length equation:
Length = 1.25w
Length = 1.25 * 12
Length = 15
Therefore, the dimensions of the picture are 12 inches (width) and 15 inches (length).