Atriangular parking lot has two sides that are the same length and the third side is 5 m longer. if the perimeter is 71 m, find the lengths of the sides. provide an equation and show all work

The equation can be expressed as;

x+y=71 where,

Lengths of two equal sides=x=22 m

Lengths of longer side=y=27 m

Step-by-step explanation:

The total perimeter can be expressed as;

Total perimeter=Total length of the equal sides+total length of the longer side

where;

Total perimeter=71 m

Total length of each of the equal sides=x m

Total length of longer side=y=(x+5) m

replacing;

x+y=71...equation 1

71=(2×x)+(x+5)

2 x+x=71-5

3 x=66

x=66/3

x=22 m

y=x+5=22+5=27 m

Lengths of two equal sides=22 m

Lengths of longer side=27 m

Equation;

x+y=71

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2