an artist intends to paint a 60-square-foot mural on a large wall. find the dimensions of the mural if the artist leaves a border of uniform width around it.
If s/he intends to paint a 60 ft^2 mural, then it could be 6 by 10, 3 by 20, 4 by 15 or 5 by 12.
What are the dimensions of the wall?
To find the dimensions of the mural with a uniform border, we can break down the problem into two steps:
Step 1: Calculate the dimensions of the mural without the border.
Step 2: Add the width of the border to each side of the mural to find the final dimensions.
Step 1:
The area of the mural is given as 60 square feet. Let's assume the length of the mural is denoted by L and the width by W.
Area of the mural without border = Length × Width = L × W = 60
Step 2:
The artist wants to leave a border of uniform width around the mural. Let's denote the width of the border by B.
Adding the width of the border to the length and width:
Length with border = L + 2B
Width with border = W + 2B
Now, we need to find the values of L, W, and B.
To determine the dimensions, we need more information or constraints. If any additional information is provided, please provide it, and I will be happy to assist you further.