A room is 14 cm long and 12 cm wide. It has a verandah 4 cm wide all around it. The area of verandah?
Answers
Answer:
ans. is in photo mark me as brainliest
Step-by-step explanation:
area of rectangle=l×b
area =14×12
area = 168
area of verandah = in photo
Answer:
The area of the room= 5×4 = 20 sq. m
Let the width be x.
Then,
(5+2x)(4+2x) - 22 = 20
or, 20 + 18x + 4x^2 -42 = 0
or, 4x^2 + 18x - 22 = 0
or, 2x^2 + 9x - 11 = 0
or, 2x^2 -2x +11x - 11 =0
or, 2x(x - 1) +11(x - 1) = 0
or, (x - 1)(2x + 11) = 0
From the above relation,
x = 1 or x = -11/2
negative answer cannot be accepted as a measure of width.
so, x = 1
The width of the verandah is 1 m.
As the verandah is surrounding the room, it increases both the length and the width two times by the value of its width.
And, the total area of the room and the verandah = area of the room + area of the verandah
Step-by-step explanation: