The ratio of the length and perimeter of a rectangle is 7:22, respectively. If the area of the rectangle is 1,792 cm², then find the breadth of the rectangle.
Show answer & explanation
Correct answer: B
Explanation
given :
Length : Perimeter = 7 : 22
Area = 1792 cm²
According to the formula:
Perimeter = 2(L + B)
Area = L × B
Let length = 7x
Perimeter = 22x
2(L + B) = 22x
L + B = 11x
7x + B = 11x
B = 4x
Area = L × B
1792 = 7x × 4x
1792 = 28x²
x² = 64
x = 8
width = 4x
width = 32
Width of rectangle = 32 cm