Question

Pls help Mariah sells her paintings which she frames using pieces of wood that are 1 inch wide . Her paintings come in difference sizes , but the width is always 1.5 times the height Write an equation to represent the total area of her paintings and their frames .

if u can pls draw the height and width :)

Answer 1

Explanation:

Lets use A for area, W for width, and H for height (sorry in advance for bad handwriting, I am writing using a mouse)

Since area is equal to width times height, lets make an equation given what we already know.

A = W * H

Now lets use the given parameters to create a proper area equation, partially answering the question.

A = (H*1.5) * H, H*1.5 being the width

Now we have the frames to add to this equation

Since these frames are 1 inch thick, this adds one inch to the width and the height.

You use order of operations to assume that we are calculating this by multiplying the height by 1.5 first, then adding the one inch to the width and height.

So our final equation is:

A = ((h*1.5)+1) * (h+1)

Lets give some example values

Height is 6, width is 6*1.5, meaning width is 9

After, we add one to the height and the width, meaning the height is 7 and the width is 10.

Lets multiply these together, and the total square area is 70 inches squared.