Question

A rectangle has an area of 40 square units. The length is 6

units greater than the width.
What are the dimensions of the rectangle?
8 by 5
10 by 4
11 by 9
013 by 7

Answer 1

B.

Explanation:

Answer 2

10 by 4

Explanation:

Let the width be x units

Therefore, length = (x + 6) units

Area of rectangle = length *width

`x(x + 6) = 40 \\ {x}^(2) + 6x - 40 = 0 \\ {x}^(2) + 10x - 4x - 40 = 0 \\ x(x + 10) - 4(x + 10) = 0 \\ (x + 10)(x - 4) = 0 \\ x + 10 = 0 \: or \: x - 4 = 0 \\ x = - 10 \: or \: x = 4 \\ length \: can \: not \: be \: negative \\ \implies \: x \\eq \: - 10 \\ x = 4 \\ x + 6 = 4 + 6 = 10 \\`