Joy knits a square blanket that has an area of 1,500 square inches . what is the approximant length for each side of the blanket ? a. 16 inches b.27 inches c.39 inches d. 42 inches jeff is an archetict and is drawing the plan for a room addition for a client. if the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet? a.539 b.1024 c.12,167 d.32,768

1) Option C - 39 inches

2) Option C - 12167 cubic feet

Step-by-step explanation:

1) Given : Joy knits a square blanket that has an area of 1,500 square inches

  To find : What is the approximate length for each side of the blanket.

  Solution: Area of square = 1500 square inches

Let the side of the blanket = s

Formula of area of square is

Approximately Side of blanket = 39 inches

Therefore, Option C is correct.

2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.

  To find : what is the volume in cubic feet if the length is 23 feet?

  Solution: Length of side of a cube (a)= 23 feet

Let the volume of a cube = V

Formula of Volume of cube is

Volume of a cube = 12167 cubic feet

Therefore, Option C is correct.

a - base

b - exponent

so,

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)