# math help?

An equilateral triangle has a side length of 3x + 4. A square has a side length of 2x + 10. If they have the same perimeter, what is the area of the square

Relevance
• 1 month ago

Perimeter of a triangle = the sum of the 3 equal sides = 3(3x+4) = 9x + 12

Perimeter of a square = the sum of the 4 equal sides = 4(2x+10) = 8x + 40

set the perimeters equal:

9x + 12 = 8x + 40

solve for x:

x = 28

since a side of the square is 2x + 10, put x=28 in and calculate:

2(28) + 10 = 66

Now that you know that one side of the square is length 66, you can calculate the area by multiplying 66 x 66 (or 66 squared) which equals 4,356 square units.

• David
Lv 7
1 month ago

Each 3 sides of equilateral triangle = 88 and perimeter 3*88 = 264

Each 4 sides of square = 66 and perimeter 4*66 = 264

Area of square: 66*66 = 4,356 square units

• 1 month ago

3(3x + 4) = 4(2x + 10)

9x + 12 = 8x + 40

solve for x, see what 2x + 10 is then square that value.

• Eishal1 month agoReport

oh ok thank uu