Find the area of the following
rhombus:
6 cm
10 cm
8 cm

480

Step-by-step explanation:

10*6=60

60*8=480

If my math is correct. I am sorry if I am wrong

Function:

Area of the bottom of the box = 4x^2 - 16x + 15

x = 0.34 in

Step-by-step explanation:

This is a draw of what I understood.

You have a notecard of 3x5 in^2 and you cut squares with "x" side from the corners.

Once you fold the notecard to form a box, the sides of the bottom of the box are 3 - 2x and 5 - 2x because each side will lose the length of 2 sides of the square.

(a) Area of the bottom of the box:

A = (3 - 2x ) ( 5 - 2x ) = 15 - 6x - 10x + 4x^2 = 4x^2 -16x + 15

(b) You replace A for 10 in the expression from (a):

10 = 4x^2 - 16x + 15

0 = 4x^2 - 16x + 5

Solving that you get 2 values of x:

x = 0.34 in

x = 3.66 in

It cant be 3.66 because you are cutting 2 x from each side of the rectangle and the sides are 3 and 5, so you cant cut 7.32 from it. Leaving the only valid answer x = 0.34 in