solve this question
Answers
Answer:
2 meters
Step-by-step explanation:
Given Length of the rectangular garden = 16m.
Given breadth of the rectangular garden = 10m.
We know that Area of rectangle = length * breadth
= 16 * 10
= 160m^2.
Given Area of the walk = 120m^2.
Total area = 160 + 120
= 280m^2.
The Length of the whole rectangle including concrete walk = 16 + 2x.
The breadth of the whole rectangle including concrete walk = 10 + 2x.
(16 + 2x) * (10 + 2x) = 280
160 + 32x+ 20x + 4x^2 = 280
4x^2 + 52x + 160 = 280
4x^2 + 52x + 160 - 280 = 0
4x^2 + 52x - 120 = 0
x^2 + 13x - 30 = 0
x^2 + 15x - 2x - 40 = 0
x(x + 15) - 2(x + 15) = 0
(x - 2)(x + 15) = 0
x = 2 (or) x = -15.
Since x cannot be -ve, so x = 2.
Therefore the value of x = 2.
Hope this helps!!!!
pls mark as brainliest!!!!