If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what happens to the area of the rectangle?

The area of the rectangle will decrease because lets say the length is 2 and the width is 1 originally the area of the rectangle is lxw which is 2x1 is 2. But if we increase the length by 120% which will be 2.4 and increase the width decreased by 20% which is 0.8 then if we multiply them using the formula its 1.92 which decreased

Answered by deathstrike001 | 2024-06-10

Let length of rectangle=x and width be y .`. area=x y
now new length=x+12x/10=22x/10 width=y-y/5=4y/5 now ..... new area=new length-new width=22x/10 4y/5 new area=88xy/50

Answered by shreyashi | 2024-06-10

Increasing the length of a rectangle by 120% and decreasing its width by 20% results in the area increasing by a factor of 1.76. The new area is 1.76 times the original area. Therefore, the overall size of the rectangle increases despite the reduction in width.
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Answered by shreyashi | 2024-10-02