Silas would like to enlarge his rectangular front yard which

Silas would like to enlarge his rectangular front yard which is currently 80 feet by 40 feet. He can only extend the width and length by 5x feet. If x = 7 feet, what will be the increase in area of the front yard?

Solution

Size of current rectangular front yard

Length= 80 feet

Width= 40 feet

Current area of rectangular front yard = 80*40= 3200 square feet.

Length and width is increased by 5x feet.

x=7

New length= 80+5x= 115 feet.

New Width= 40+5x= 75 feet

New area of rectangular front= 115*75= 8625 square feet

Increase in area= 8625-3200=5425 square feet.