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Let the width be x and the length be x+10:

x(x+10) = 144 square feet

Multiply out the brackets and bring over 144 to the LHS which will give you a quadratic equation to solve:

x2+10x-144 = 0

Factorising the equation:

(x+18)(x-8) = 0

Therefore: x = -18 or x = 8

Obviously x must be 8

So the dimensions are: width = 8 feet and length = 18 feet

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How do you make two shapes have the same surface area but different volumes?

To make two shapes have the same surface area but different volumes, you can manipulate their dimensions while maintaining the surface area constant. For instance, consider a cube and a rectangular prism; by adjusting the length, width, and height of the rectangular prism while keeping its surface area equal to that of the cube, you can achieve different volumes. The cube has equal dimensions, while the rectangular prism can have varied dimensions that lead to a different volume while ensuring the overall surface area remains unchanged.


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