Question

There are two types of grass, green grass and pink grass. One cow eats green grass and other eats pink grass. The region covered is as shown.


Which cow ate more grass? (Units given here are in feet)

• A. Cow that ate green grass
• B. Cow that ate pink grass
• C. Both ate the same amount

Answer 1

The correct option is B Cow that ate pink grass

Given regions can be shown as below,


$\underset{–}{PinkAreas:}$

From above diagram,

Pink square side $=4feet$

Now, $Areaofpinksquare=sid{e}^2$

$Pinksquarearea=4^2=16fee{t}^2$

Pink triangle:

Base $=6feet$

Height $=3feet$

$Areaofpinktriangle=\frac{1}{2}\times Base\times Height$

$⟹Areaofpinktriangle=\frac{1}{2}\times 6\times 3$

$⟹Areaofpinktriangle=9fee{t}^2$

$\therefore Totalpinkarea$
$=$ Area of pink square+Area of pink triangle
$=16+9$
$=25f{t}^2$

$\underset{–}{GreenArea}:$

$GreenTriangle1:$

$Base=4feet$

$Height=3feet$

$Areaofgreentriangle1=\frac{1}{2}\times 4\times 3$

$Areaofgreentriangle1=6fee{t}^2$

$GreenTriangle2:$

$Base=6feet$

$Height=4feet$

$Areaofgreentriangle2=\frac{1}{2}\times 6\times 4$

$Areaofgreentriangle2=12fee{t}^2$

$TotalGreengrassarea$
$=$ Area of triangle 1 + Area of triangle 2
$=(6+12)$
$=18f{t}^2$
Hence,
The cow in the pink grass region ate more grass.