Core Connections Algebra 1, 2013
CC
Core Connections Algebra 1, 2013 View details
1. Section 8.1
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Exercise 30 Page 378

Practice makes perfect
a To find the length of the side of a square, we will use the formula for calculating the area of a rectangle.
A=l * wSince a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s. A=l * w ⇒ A=s^2 We have been given that the area A is equal to 81square units. To find the length of the side, we will substitute this value into the formula and solve for s.
A=s^2
81=s^2
s^2=81
s=sqrt(81)
s=9
The length of the side of a square is 9units.
b To find the length of the side of a square, we will use the formula for calculating the area of a rectangle.
A=l * wSince a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s. A=l * w ⇒ A=s^2 We have been given that the area A is equal to 225square units. To find the length of the side, we will substitute this value into the formula and solve for s.
A=s^2
225=s^2
s^2=225
s=sqrt(225)
s=15
The length of the side of a square is 15units.
c To find the length of the side of a square, we will use the formula for calculating the area of a rectangle.
A=l * wSince a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s. A=l * w ⇒ A=s^2 We have been given that the area A is equal to 10square units. To find the length of the side, we will substitute this value into the formula and solve for s.
A=s^2
10=s^2
s^2=10
s=sqrt(10)
The length of the side of a square is sqrt(10)units.
d To find the area of the square, we will use the formula for calculating the area of a rectangle.
A=l * wSince a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s. A=l * w ⇒ A=s^2 We have been given that the side length s is equal to 11units. To find the area of the square, we will substitute this value into the formula to calculate A.
A=s^2
A= 11^2
A=121
The area of the square is 121square units.