Question

Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is

400 in? What is the length of the entire rectangle?
a.) Draw a picture to represent the situation.
b.) What is the area of one square? How did you find it?
c.) Once you know the area, how do you find the side length of each square?
Holio with Pror
d.) Once you know the side length of each square, how do you find the length of the rectangle?
14020
MERCHANG
WONDE

Answer 1

9514 1404 393

Answer:

a) attached

b) 100 square inches, 1/4 of the total

c) square root of area

d) multiply by 4

Explanation:

a) A diagram is attached

__

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

__

c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

__

d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.