Question

The length of a particular rectangle is 2 inches less than twice its width. If the area of the rectangle is 40 square

Answer 1

ANSWER:

Let width be x, then length be 2x – 2

Now, Area of rectangle = L × B

• x(2x – 2) = 40
• 2x² – 2x – 40 = 0
• 2(x² – x – 20) = 0
• x² – x – 20
• x² –5x + 4x – 20 = 0
• x(x – 5) + 4(x – 5) = 0
• (x + 4)(x – 5) = 0
• x = – 4; 5

Hence, width can't be negative.

So width = 5in.

And Length = 2 × 5 – 2

• 10 – 2 = 8in.

So, Correct choice - [D] Length is 8 in, Width is 5 in.