Answer:
a) the area of a square is in terms of x is 
 centimeter square
 centimeter square
b)The length of the rectangle is l = (x+1)
                                        l = 7+1 =8 cm
The width of the rectangle is w = [(x+1)-5]
                                      w = (7+1)-5 =3 cm
Step-by-step explanation:
a) the area of a square is in terms of x is 
  area of square is 
                                  = 
b)  Given length is  l = (x+1) cm and
the width is 5 cm less than its length.
so we have take width is w = (x+1)-5 cm 
Given area of triangle is  24 cm
Area of rectangle = length X width
24  =  (x+1)(x+1 -5 )
now simplification 
apply (a+b)^2 = a^2+2 a b+b^2



now find factors of 28  = 7 X 4 is  



x = -4 and x=7
there fore you have to choose x = 7
The length of the rectangle is l = (x+1)
                                        l = 7+1 =8
The width of the rectangle is w = [(x+1)-5]
                                      w = (7+1)-5 = 3
<u>Verification:-</u>
Given area of rectangle  = 24 = 8 X 3
                                            24 =24
so we can not choose x=-4
we have to choose x =7 only