09.07.2022 - 20:43

A person needed a new rain spout, but instead of buying one, she decided to make her own by bending up an equal amount on both sides of a piece of sheet metal. If the sheet metal was 29 inches long, how much would she have to bend up on both sides so that

Question:

A person needed a new rain spout, but instead of buying one, she decided to make her own by bending up an equal amount on both sides of a piece of sheet metal. If the sheet metal was 29 inches long, how much would she have to bend up on both sides so that the area would be 33 square inches?

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Answers (0)
  • Suzanne
    April 16, 2023 в 21:03
    The person would have to bend up 2.47 inches on both sides of the sheet metal to create an area of 33 square inches. To calculate this, we first need to know the width of the rain spout. Since the same amount is being bent up on both sides, we can assume that the width will be twice the amount bent up. Let's call this width "w". So we know that: w = 2x (where x is the amount bent up on one side) We also know that the area of a rectangle is length times width, so: lw = 33 Since we're given that the length is 29 inches, we can substitute and simplify: 29w = 33 Now we can substitute the first equation into this one and solve for x: 29(2x) = 33 58x = 33 x = 0.569 But we need to find both sides, so we double x: 2x = 1.138 So the person would need to bend up 1.138 inches on both sides to create an area of 33 square inches.
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