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

42

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.