Question

B)

The length of the rectangle below is (2x - 1) cm and its width is (x + 3) cm.
(2x - 1)
(r + 3)
(i)
Write an expression in the form ax2 + bx + c for the area of the rectangle.
Given that the area of the rectangle is 294 cm?, determine the value of x.
(iii)
Hence, state the dimensions of the rectangle, in centimetres.

Answer 1

i. 2x²+5x-3

ii. x=-27/2

iii. length of rectangle= 2x-11= 2*11-1=21cm

Explanation:

i. ax²=bx=c

(2x-1) (x=3)

2x²=6x-x-3

=2x²=5x-3