If the breadth and perimeter of a rectangle are in the ratio 1 : 8 and the area of rectangle is 363 cm2, then the breadth of the rectangle is :
Answer & explanation
Correct answer: option 1
Here,
B : 2(L + B)
1 : 8
and L × B = 363 cm2
⇒ 8 = 2(L + 1)
⇒ 4 = L + 1
⇒ L = 3,
Now,
⇒ (3 x 1)\( {x }^{2 } \) = 363
⇒ 3( {x }^{2 } \) = 363
⇒ ( {x }^{2 } \) = 121
⇒ x = 11.
⇒ Breadth = 1 x 11 = 11 cm