220k views
10 votes
A rectangle and a square have equal areas. The length of the square is 9 cm.The rectangle has width 4 cm. What is the perimeter of the rectangular?

User Mikerobi
by
3.6k points

2 Answers

12 votes

Answer:

Width is 4cm and length is 20.25, so perimeter is 48.5

Explanation:

Square has same length for each side

Area for the Square 9 x 9 = 81

So find another number that adds up to the area of the square

Area for Rectangle 4 x 20.25 = 81

Width for Rectangle is 4cm and length is 20.25, so perimeter is 48.5

Should be pretty easy if you have a calculator, It'll just take a couple more minutes :D

User ChrisOdney
by
3.3k points
7 votes

Answer:

Perimeter = 26 cm. Area =

Explanation:

The rectangle has a width of 4 cm and the square has a length of 9. cm, so to make them have the same area you make the length of the rectangle 9 cm and the square have a width of 4 cm.

then each shape will have two sides that are 9 cm and two sides that are 4 cm.

Perimeter

9 + 9 = 18

4 + 4 = 8

18 + 8 = 26

the perimeter is 26 cm.

Area

9 x 4 = 36

the area is 36 cm.

User Bennett Brown
by
3.2k points