Question

1. The area of rectangle field is (P square-11p+28) square unit find the width of rectangle if its length is (p-7 ) unit​

Answer 1

Area = length × width

${p}^{2} - 11p + 28 = (p - 7)(x)$

$x = \frac{ {p}^{2} - 11p + 28 }{p - 7}$

$x = \frac{ {p}^{2} - 7p - 4p + 28 }{p - 7}$

$x = \frac{p(p - 7) - 4(p - 7)}{(p - 7)}$

$x = \frac{(p - 7)(p - 4)}{(p - 7)}$

$x =( p - 4)$

The width of the rectangle field is

( p - 4) units.