Question

Alan has a patio that is in the shape of a rectangle with an area of 1000 n². He has decided to expand the patio so that it can hold more

furniture. The new patio will be a larger rectangle. The current patio has a length of 50 ft and a width of 20 ft. He plans on making the new
length 2 times the current length and the new width 3 times the current width.
(a) Fill in the blanks to describe the size of Alan's new patio.
New length
New width
New area
Oft
OR
On²
(b) How will the expansion change the area of the patio?
The area of the new patio will be times the area of the current patio.
(c) Alan's friend Charmaine also wants to expand her rectangular patio. Charmaine wants her new patio to be a rectangle that
has 27 times the area of her current patio. She goes to Alan for advice. Fill in the blank so that Alan's advice to Charmaine is
correct.
Make the new length 3 times the current length, and make the new width times the current width.
8
X
Español

Answer 1

a)

new length: 100ft

new width: 60ft

new area: 6000ft

b) 6

c) 9

Explanation:

a)

length: 50ft x 2 = 100ft

width: 20ft x 3 = 60ft

area (length x width): 100ft x 60ft = 6000ft

b) 6000ft ÷ 1000ft = 6

c) 27 ÷ 3 = 9