A designer had to change the size of a rectangular carpet. He increased the length by 50% and decreased the width by 20%. By what percent was the area of the final item changed?

It increased by 20%

Step-by-step explanation:

imagine the original size as 10 by 10.

an increase of 50% equals to 15 and a decrease of 20% equals to 80

compare the original area (100) with the new area (120)

the area has increased by 20/100, or 20%

i hope this is what you were looking for.

see attached graph

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%