Marisol is painting on a piece of canvas that has an area of 180 square inches. The length of the Painting is 1 1/4 times the width. What are the dimensions of the painting

this is for elementary school so make it simple

1 1/4 in. = 5/4 in.

Width = W in.
Length = 5/4 * W = 5W/4 in.

Area = Length * Width =
5W/4 * W = 180 1n^2.
5W^2/4 = 180
Multiply both sides by 4:
5W^2 = 720
W^2 = 144
W = 12 in. = Width

5/4 * 12 = 15 in. = Length.

Holly wants to make a frame for painting. The painting is square and has an area of 225 square inches. The framing material costs $2.46 per inch. How much will Holly spend framing the picture?

I don't understand how to get the answer. I was told it is $147.60??

Let's solve this step by step:

1. Let's say the width of the painting is "x" inches.
So, the length of the painting would be 1 1/4 times the width, which is 1.25x inches.

2. The area of the painting is given as 180 square inches.
Area of a rectangle = Length × Width

Substituting the values:
(1.25x) × x = 180

3. Now, let's solve this equation to find the value of "x".
Multiply the terms with x:
1.25x^2 = 180

Divide both sides of the equation by 1.25:
x^2 = 144

Take the square root of both sides:
x = √144

So, the width of the painting is x = 12 inches.

4. Now, we can calculate the length by substituting the value of x:
Length = 1.25x = 1.25 × 12 = 15 inches.

Therefore, the dimensions of the painting are 15 inches (length) and 12 inches (width).

To find the dimensions of the painting, we need to set up an equation using the information given.

Let's assume the width of the painting is 'x' inches.

According to the problem, the length of the painting is 1 1/4 times the width.
So, the length would be (1 1/4) * x, which can also be written as 5/4 * x.

Now, we know that the area of a rectangle is given by length multiplied by width.
So, the equation becomes:
Area = Length * Width
180 = (5/4 * x) * x

To simplify the equation, we'll multiply (5/4 * x) by x:
180 = (5/4) * x^2

Now, we can solve for 'x' by dividing both sides of the equation by (5/4):
180 / (5/4) = x^2

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
180 * (4/5) = x^2

Simplifying further, we get:
144 = x^2

To find the value of 'x', we take the square root of both sides:
√144 = √x^2
12 = x

So, the width of the painting is 12 inches.

Now, we can find the length by multiplying the width by 5/4:
Length = (5/4) * x
Length = (5/4) * 12
Length = 15 inches

Therefore, the dimensions of the painting are width = 12 inches and length = 15 inches.