The sides of a rectangle are in the ratio of 4:5. If the width is 28 in., find the length, the perimeter, and the area of this rectangle.
l=35
p=126
a=980
To find the length of the rectangle, we can use the given ratio of the sides. Since the ratio of the sides is 4:5, we can set up the equation:
4/5 = width/length
Plugging in the given width of 28 inches, we get:
4/5 = 28/length
To solve for length, we can cross multiply:
4 * length = 5 * 28
4 * length = 140
Dividing both sides by 4, we find:
length = 35 inches
Now that we have the length, we can calculate the perimeter and area of the rectangle.
Perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
Plugging in the values, we get:
Perimeter = 2 * (35 + 28)
Perimeter = 2 * 63
Perimeter = 126 inches
Area of a rectangle is given by the formula:
Area = Length * Width
Plugging in the values, we get:
Area = 35 * 28
Area = 980 square inches
Therefore, the length of the rectangle is 35 inches, the perimeter is 126 inches, and the area is 980 square inches.
4/5 = 28/x
4x = 140
x = 35
The length is 35 inches.
Take it from there.