Q:

Find the area of a square with side a when a is equal to the following values. Are the area of a square and the length of its side directly proportional quantities? Why or why not? a=2 cm

Accepted Solution

A:
Answer:The area of square for side 2 cm is 4 cm²  , And yes area of square and length of side are directly proportional  .Step-by-step explanation:Given as for square ;The side of square = aThe Area of square = side²So, For side = aThe Area of square = a × a = a² Now if a = 2 cm , So ,The side of square =  a = 2 cm∴ The Area of square = 2 × 2 = 2² or, The Area of square = 4 cm² So, from the above formula to get the area of square , it is clear the the side of square and the area of square are directly proportional quantities . I.e Area of square ∝ side² Hence the area of square for side 2 cm is 4 cm²  , And yes area of square and length of side are directly proportional  .   Answer