Question

Sort the areas of quadrilateral in increasing order(down to up) if diagonal & sum of heights (a+b) are given.

• A. d=45m
  (a+b)= 40 m
• B. d=25m
  (a+b)= 60 m
• C. d=40m
  (a+b)= 60 m
• D. d=50m
  (a+b)= 40 m

Answer 1

$\text{Area of Quadrilateral}=\frac{1}{2}d(a+b)$

$\text{When d}=25m,(a+b)=60m$

$\text{Area A}=\frac{1}{2}\times 25m\times 60m$

$=750m^2$

$\text{When d}=45m,(a+b)=40m$

$\text{Area A}=\frac{1}{2}\times 45m\times 40m$

$=900m^2$

$\text{When d}=50m,(a+b)=40m$

$\text{Area A}=\frac{1}{2}\times 50m\times 40m$

$=1000m^2$

$\text{When d}=40m,(a+b)=60m$

$\text{Area A}=\frac{1}{2}\times 40m\times 60m$

$=1200m^2$

Arranging the given areas in increasing order.

$750m^2$
$900m^2$
$1000m^2$
$1200m^2$