Find the value of x so that the figures have the same perimeters.

Hello from MrBillDoesMath!

x = 4

Discussion:

Perimeter of rectangle:

= (x +13 + 2x) +   (x +13 + 2x)

= 6x + 26

Perimeter of triangle:

(3x + 4) + (2x+5)  + (5x + 1)

The diagram is a bit fuzzy but I think the above numbers are what is shown

= (3x + 2x + 5x) + (4 +5+1)

= 10x + 10

For the figures to have the same perimeter

6x + 26 = 10x + 10 =>           (subtract 6x from both sides)

6x - 6x + 26 = 10x - 6x + 10 =>

26 = 4x + 10 ->                     (subtract 10 from both sides)

26-10 = 4x =>

16 = 4x =>

x = 16/4 = 4

Check for triangle perimeter:  

10x + 10 =

10(4) + 10 =50

Check for rectangle:

6x + 26

6(4) + 26 = 24 + 26 = 50

The number agree.

Thank you,

MrB

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

468

step-by-step explanation: