Question

The hanger image below represents a balanced equation. Write an equation to represent the image

Answer 1

The required equation is 7=2+r and the value of r is 5 units.

Explanation:

In the given hanger, the left side of the hanger has 7 boxes in which each box is of one unit.

The sum of left sides is

`1+1+1+1+1+1+1=7`

The sum of left side is 7.

Right side of the hanger has 2 boxes in which each box is of one unit and pentagon of r units. So, the sum of right side is

`1+1+r=2+r`

It is given that the hanger represents a balanced equation. It means the left sides is equal to the right side. So, the required equation is

`7=2+r`

Subtract 2 from both the sides.

`7-2=2+r-2`

`5=r`

Therefore the required equation is 7=2+r and the value of r is 5 units.

Answer 2

The equation is
`7=2+r`

Explanation:

we know that

The equation that represent the image is equal to

`(1+1+1+1+1+1+1)=(1+1)+r`

Solve for r

`7=2+r`

`r=7-2`

`r=5\ units`