Question

A region satisfies the inequalities 2 ≤ x ≤ 6 and 3 ≤ y ≤a. What value of a would give the region an area of 24 square units?​

Answer 1

Answer: a = 9

Explanation:

The given figure formed is a rectangle.

Area of given region (Yellow region) = 24
`unit^(2)`

Length (l) = 6-2 = 4 units

Breadth (b) = a-3 units

Area = l×b

24 = 4 x (a-3)

6 = a-3

a = 9 units