Multiple choice

A carpenter is designing a rectangular table with an area of x square meters. However, upon reconsideration, the carpenter decides to increase the length of the table by 20%. Realizing that the table is now too large, the carpenter decides to decrease the width by 15%. What is the area of the modified table in terms of x?

  1. 0.85x

  2. 1.02x

  3. 1.2x

  4. 1.34x

  5. 1.5x
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let length be L and width be W, so x = L * W. The new length is 1.2L and the new width is 0.85W. The new area is 1.2 * 0.85 * L * W = 1.02 * L * W = 1.02x.

AI explanation

The initial area is the product of length and width, giving length times width equals x. The new length becomes 1.20 times the original length, while the new width becomes 0.85 times the original width. Using the area formula for a rectangle, the modified area is 1.20 times 0.85 times x, which equals 1.02x.

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