Question

How would you go about solving this with geometry?

Answer 1

x = 7

y = 16

Explanation:

2x + 5 = x + 12

x = 7

y - 4 = 7 + 5

y = 12 + 4

y = 16

Answer 2

Given:

From the figure, the sides are (2x + 5), (x + 12), (y - 4) and (x + 5)

The sides having lengths (2x + 5) and (x + 12) are equal.

The sides having lengths (y - 4) and (x + 5) are equal.

We need to solve the given figure.

Value of x:

Let us determine the value of x.

Equating the two sides having equal lengths (2x + 5) and (x + 12), we get;

`2x+5=x+12`

`x+5=12`

`x=7`

Thus, the value of x is 7.

Value of y:

The value of y can be determined by equating the two sides (y - 4) and (x + 5) having equal lengths.

Thus, we have;

`y-4=x+5`

Substituting x = 7, we get;

`y-4=7+5`

`y=7+5+4`

`y=16`

Thus, the value of y is 16.

Side lengths of the figure:

The side lengths can be determined by substituting the values of x and y.

Thus, we have;

`2x+5=2(7)+5=19`

`x+12=7+12=19`

`x+5=7+5=12`

`y-4=16-4=12`

Thus, the lengths of the figure are 19, 19, 12, 12.