Question

What happens to the area of a rectangle if the length is decreased by 20% and while the width is increased by 50%?

o decreased by 20%
o decreased by 80%
o increased by 20%
o increased by 50%
pick your answer from the choices above

Answer 1

Answer:

Step-by-step explanation:

Let length be x and width be y

Area of rectangle = length × width = xy

Length is decreased by 20%, so now the length  is 80% means $\frac{80}{100}x = \frac{4}{5} x$

Width is increased by 50%, so now the length  is 150% means $\frac{150}{100}y = \frac{3}{2} y$

Area of Rectangle = length × width = $\frac{4x}{5}$×$\frac{3y}{2}$ = $\frac{6}{5} xy$

compare both areas = 6/5xy-xy = 1/5xy

means 1/5 times increased

1/5 × 100 = 20%

it 20% in positive so it is increased

Therefore, Area is increased by 20%

Hope it Helps!!!