Question

Find the perimeter of triangle if one side is 16 feet, another side is two-sevenths the perimeter, and the third side is one-third the perimeter.​

Answer 1

Question

find the perimeter of triangle if one side is 16 feet, another side is two- sevenths the perimeter, and the third side is one - third the perimeter.

Given

• one side of triangle is 16 feet.
• Another side of triangle is two - sevenths.
• The third side is one - third of perimeter.

Required to Find

Find the perimeter of triangle.

Solution

Let p = perimeter

$\sf \: p = \frac{2}{7} p + \frac{1}{3} + 16$

Multiply equation by a common multiple of 7 and 3

$\sf \: 21(p) = 21 \frac{2}{7} p + 21 \frac{1}{3} + 21(16)$

Cancel the denominators, result

$\sf \implies \: 21p = 3(2p) + 7(p) + 336 \\ \sf \implies \: 21p = 6p + 7p + 336 \\ \sf \implies \: 21p = 13p + 336 \\ \sf \implies \: 21p - 13p = 336 \\ \sf \implies \: 8p = 336$

$\sf \implies \:p = \frac{336}{8}$

p = 42 ft is the perimeter

More

perimeter

Perimeter is a distance around the outside of shape .

Area.

Area measures the space inside a shape .

Perimeter of triangle

Perimeter of triangle is the sum of all the three sides

Perimeter of triangle = Sum of all three sides.

Formulas

Perimeter of triangle = a + b + c

Perimeter of square = 4× s

Perimeter of rectangle = 2L + 2w

Perimeter of Circle = 2πr = πd

Answer 2

P = 336/8 ........okok