Question

American Gothic was painted in 1930 by Grant Wood. The length of a reproduction of the rectangular painting is 2 inches more than the width. Find the dimensions of the reproduction if it has a perimeter of 43.8 inches. width length

Answer 1

Answer:

Length: 11.95

Width: 9.95

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To begin solving this question we need to create a formula to then solve. According to the information given in the question we can create 2 formulas.

$P = 2L+2W$

$L = 2+W$

Where:

• P is the perimeter
• L is the length
• W is the width

Now we can replace L for the L in the P formula and solve for W, Like so....

$43.8 = 2(2+W)+2W$

$43.8 = 4+2W+2W$

$39.8 = 4W$

$9.95 = W$

Now that we have the value of W we can plug that into the L formula and find L

$L = 2+9.95$

$L = 11.95$

Finally, we can see that the value of the Length is 11.95 in and the Width is 9.95 in

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.