Length, area and algebra

This task is about using algebraic expressions to find length and area of a shape.
diagram of shape with side lengths marked
[Not drawn to scale]

Question 2Change answer

a)  Write an expression, in its simplest form, for the length of
side M: 
side N: 

Question 2Change answer

b)
i)  If the value of x was 11 cm what would be the length of the longest side?
     Longest side =  cm
 
 ii) Write an expression to find the area of the shaded rectangle.
 
 iii) Calculate the area of the shaded rectangle if the value of x was 5 cm.
       Area of shaded rectangle =  cm2

Question 2Change answer

c)  If the length of the longest side was 63 cm, solve an equation to find the value of x. 
     Show all your working in your calculation.
x =  cm
Published on Assessment Resource Banks (https://arbs.nzcer.org.nz)