perimeter=240 yd., the length is 16 yards
longer than than width. what are dimensions?
12
A rectangle football field whose dimensions are 12 by 16 yards we need to use 224 yards of a fencing to enclose it so we will increase the length and width by x yards
To find the dimensions given the perimeter and the relationship between the length and width, we need to set up and solve an equation.
Let's say the width is "w" yards. According to the given information, the length is 16 yards longer than the width, so the length would be "w + 16" yards.
The perimeter of a rectangle can be calculated by adding the lengths of all four sides. Since we know the perimeter is 240 yards, we can set up the equation:
2(length + width) = perimeter
Plugging in the values we have:
2(w + 16 + w) = 240
Simplifying the equation:
2(2w + 16) = 240
4w + 32 = 240
4w = 208
w = 52
So the width of the rectangle is 52 yards. Since the length is 16 yards longer, it would be 52 + 16 = 68 yards.
Therefore, the dimensions of the rectangle are 52 yards for the width and 68 yards for the length.