Four squares are cut from the corners from a 20 cm by 24 cm rectangular sheet of tin. the sides are then bent up to make a pan. what is the length of each side of the squares is the area of the bottom of the pan is said to be 192 cm squared

Squares are cut from the corner, so we are left with only one variable.

The area of a rectangle, the bottom of the pan, is base*height.

Let's call the sides of the removed squares "x"

so 192 = (20-x)(24-x)          foil to expand the binomials

192 = 480 - 44x - x squared         Take 192 away from both sides

0 = 288 - 44x - x squared            

0 = (36 - x)(8-x)

x = 36 and x = 8

Because 36 > 24 and 36 > 20, in this case, the squares cannot be

36cm x 36cm and therefore must be 8cm x 8cm.

Check:

(20-8)(24-8) = 192

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