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29 votes
29 votes
A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?

User JudgeProphet
by
2.6k points

2 Answers

9 votes
9 votes

Final answer:

The area of the rectangle would change by 6 square meters.

Step-by-step explanation:

To find out how much the area would change, we need to calculate the areas of both the original rectangle and the modified rectangle. The area of the original rectangle is obtained by multiplying its length (14 m) by its width (12 m), which gives us an area of 168 square meters.

Next, we calculate the area of the modified rectangle. The modified width is (12 m - 3 m) = 9 m and the modified length is (14 m + 4 m) = 18 m. Multiplying these values together gives us an area of 162 square meters.

The change in area is then given by subtracting the area of the modified rectangle from the area of the original rectangle: 168 square meters - 162 square meters = 6 square meters. So, the area would change by 6 square meters.

User Jowo
by
2.8k points
25 votes
25 votes

Answer:

6 m²

Step-by-step explanation:

Original area :

12 × 14 = 168 m²

New area :

(12-3) × (14+4) =

9 × 18 = 162 m²

168 - 162 = 6

Area would change by 6 m²

User Crossman
by
3.2k points
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