Respuesta :
The area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
What is the area of the rectangle?
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16
As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
Let l and w be the length and width of the rectangle:
l = 8 + w
w = l - 8
l/P = 5/16 (the length to the perimeter is 5:16)
P is the perimeter of the rectangle.
P = 2(l + w)
l/[2(l + w)] = 5/16
16l = 10(l + w)
8l = 5(l + l - 8)
8l = 10l - 40
2l = 40
l =20 inches
w = 20 - 8 = 12 inches
Area = 20x12 = 240 square inches
Thus, the area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
