if the perimeter of a rectangle is 76 cm ifits are in the ratio 11:8 find its area
76/19
2(11*2) + 2(8*2) = 76
Find area.
Yes
Haus. Whnand q
To find the area of a rectangle, we need to know the length and width of the rectangle. However, we only have information about its perimeter and the given ratio between the sides.
Let's assume that the sides of the rectangle are 11x and 8x, where x is a common factor. If the perimeter is 76 cm, then the sum of all sides must equal 76 cm.
Perimeter = 2(length + width)
76 = 2(11x + 8x)
Now, we can solve for x to find the values of length and width.
76 = 2(19x)
Dividing both sides by 2:
38 = 19x
x = 2
Now that we know the value of x, we can find the actual length and width of the rectangle.
Length = 11x = 11 * 2 = 22 cm
Width = 8x = 8 * 2 = 16 cm
Now, we have the length and width, and we can calculate the area.
Area = Length * Width
Area = 22 cm * 16 cm
Area = 352 cm²
Therefore, the area of the rectangle is 352 cm².