You are making a picture frame of uniform width for a picture that is to be displayed at the local museum. The picture is 3.25 feet tall and 3 feet wide. The museum has allocated 15 square feet of wall space to display the picture. What should the width of the frame be in order to use all the allocated space?

*This is a factoring problem.*

To use all of the available space, the frame's width must be 4.61 feet long.
How to calculate Width?

To determine the length and width of a rectangle, first compute the width 'w' using the area of rectangle formula , 'w = A/l'. Then, in the formula for the perimeter of a rectangle, substitute the value of width and simplify the value of length 'l,' that is, P = 2 (l + A/I).

Place the measuring tool's tip on top of the object. Extend the measuring tool all the way along the space's vertical edge until you reach the bottom of the object.

Take note of the number on the measuring tool where the width edge ends and write it down on paper. This is the measurement for width.


Area = {w}
&15=(3+2 x)(3.25+2 x) \\
&x=0.375, x=-3.5(x)
So, the width of the frame is 0.375 ft
To learn more about Width , refer to:
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Answered by PamelaHelen | 2024-06-16

The width of the frame should be 0.375 feet (or 4.5 inches) to use all the allocated space of 15 square feet. This was calculated by setting up an equation based on the frame dimensions and using the quadratic formula. This ensures all dimensions fit within the space provided.
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Answered by PamelaHelen | 2024-10-01