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this question involves algebra and a shape and were told that its perimeter is 56 meters and were asked to find its area now the method here is to write down an equation involving the perimeter now perimeter means add together the sides so we therefore know that X minus 1 plus 3x plus 3x plus 1 that side that side on that side must equal 56 if we made this simpler X 3 X 3 Xs 7x minus 1 plus 1 they cancel out so 7x equals 56 so X just equals 56 divided by 7 which is 8 so we know the value of x we can therefore find out the length of the sides 3 times X must equal 24 X take 1 to equal 7 and also 3x plus 1 will equal 25 so these are the dimensions of the triangle and to find the area we just have to work out a 1/2 of the base times the height so the base times by the height half well 1/2 of 24 is 12 so 12 times 7 which is just 84 centimeters squared so the area of the triangle is 84 centimeters squared