Question

A rectangular field has a perimeter of 560yards. The length of the fied is three times the width. What is the length of the field? what is the width of the field

Answer 1

Answer:

• The length of the field = 210 yards

,

• The width of the field​ = 70 yards.

Explanation:

• Let the width of the rectangular field = w yards

Given that the length of the field is three times the width.

• Length of the rectangular field = 3w yards

The perimeter of a rectangle is calculated using the formula below:

$\text{Perimeter}=2(\text{Length}+\text{Width)}$

Substitute the given values:

$560=2(3w+w)$

Next, solve the equation for w:

$\begin{gathered} 2(4w)=560 \\ 8w=560 \\ w=\frac{560}{8} \\ w=70\text{ yards} \end{gathered}$

Recall that the length, l=3w

$\text{Length}=3\times70=210\text{ yards}$

Thus:

• The length of the field = 210 yards

,

• The width of the field​ = 70 yards.