Answer:
Hence, the length of the longest side is 56 yards.
Step-by-step explanation:
The ratio of the measures of the sides of a triangle is given as: 4:7:5.
Let 'x' denote a variable such that:
The length of first side of a triangle is 4x
the length of second side of a triangle is 7x
and the length of third side of a triangle is 5x.
also we are given that the perimeter of a triangle is 128 yards.
We know that the perimeter of a triangle is sum of lengths of all the sides of a triangle.
Hence, 4x+7x+5x=128 yards
⇒ 16x=128
on dividing both the sides by 16 we get
x=8 .
Hence the length of first side of triangle is=4×8=32 yards
length of second side of triangle=7×8=56 yards
length of third side of a triangle=5×8=40 yards.
Hence, the length of the longest side is 56 yards.