If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. how long is a side of the original square?

The side of the original square is 4 feet.

Step-by-step explanation:

Given , the sides of the original square is lengthened by 7 feet.

The area of the new square = 121  square feet.

Let the original side of square be 'x'.

The new side = x+7

Area of new square =(side)² = (x+7)²

As per given , we have

Taking square roots on both sides , we get

Hence, the side of the original square is 4 feet.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

b

step-by-step explanation: