Chapter ISG, Problem 2.3.7P

To determine

To find the area of T’s garden

Answer to Problem 2.3.7P

T’s area is 50 ft²

Explanation of Solution

Given information:

Length=120 feet

Breadth= 10 feet

Formula used:

Area of rectangle, $A=length\times breadth$

Calculation:

Let area of A’s garden be x

Area of t’s garden is $\frac{1}{3}(x)$

According to question,

T’s garden + A’s garden= area of rectangle

Substituting values,

  $x+\frac{x}{3}=20\times 10$

Solving,

  $\frac{3x+x}{3}=200$

Multiplying by 3,

  $4x=600$

Dividing equation by 4,

  $x=150$

Now, T’s area= $\frac{1}{3}(x)$

Solving,

T’s area= $x=\frac{150}{3}$

Hence, t’s area is 50 ft²