Question

A rectangular dog cage has a length of 4½ feet and a width of 3 ¾ feet. What is the area of the cage?

Answer 1

• 16.875 feet²

Solution:

We are given that :

• Length of rectangular dog cage =
  `\sf 4(1)/(2)` feet.
• Width of rectangular dog cage =
  `\sf 3(3)/(4)` feet.

Area of the cage:

• ➙ Length × width

Therefore,

`\implies\quad \tt {A = Length * Width}`

`\implies\quad \tt {A = 4(1)/(2)* 3(3)/(4) }`

`\implies\quad \tt { A =((4* 2)+1)/(2)* ((3* 4)+3)/(4)}`

`\implies\quad \tt {A =(8+1)/(2)* (12+3)/(4) }`

`\implies\quad \tt { A =(9)/(2)* (15)/(4)}`

`\implies\quad \tt { A = (135)/(8)}`

`\implies\quad \underline{\underline{\pmb{\tt {A = 16.875}} }}`

Answer 2

Explanation:

Given :-

• Length :- 4½ feet
• Width :- 3¾ feet

To find :-

• Area of rectangular dog cage

Solution :-

Area of rectangular dog cage :- l×w

putting the values,

`3 (3)/(4) * 4 (1)/(2)`

`(15)/(4) * (9)/(2)`

Area = 135/8 feet²

Area = 16.875 ft²