Answer:
perimeter = 52
Step-by-step explanation:
side of square = 2x + 1
- so first lets find the perimeter of square
p = 4 × s (side)
p = 4(2x +1)............. from the given
p = 8x + 4...... we will come back for this equation
side of trianles = 2x,2x,3x + 10
- second lets find the perimeter of triangle
p = s + s + s ( all the three sides)
p = 2x + 2x + 3x + 10
p = 7x + 10........we got another equation we will use it later
- The question says the perimeter of square and the perimeter of triangle are equal so
- 8x + 4(the perimeter of square we solved before) = 7x + 10(the perimeter of triangle we solved before)
8x + 4 = 7x + 10
8x - 7x = 10 - 4
x = 6 ... now lets substitute x
8x + 4
8 × 6 +4
48 + 4
52
the same thing will happen if we substitute for the perimeter of triangle too.
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