Question

A rectangular vegetable patch has an area of 56 square meters and a
perimeter of 30 meters. What are the dimensions of the vegetable patch?
meters by
meters

Answer 1

Answer:

The dimensions of the vegetable patch is 8 m by 7 m.

Step-by-step explanation:

Area of a vegetable patch is 56 square meters and the perimeter is 30 m.

If l is length and b is breadth, then area and perimeter of a rectangle is given by :

$A=l\times b$

$P=2(l+b)$

Substituting the values in the above formulas as :

$l\times b=56\ ....(1)$

and

$2(l+b)=30\\\\l+b=15\ .....(2)$

We need to solve equation (1) and (2) to find the values of l and b such that :

Equation (2), l = 15 - b

Equation (1) becomes,

$(15-b)b=56\\\\b=7\ m, 8\ m$

If b = 7 m, so, l = 8 m

If b = 8 m, l = 7 m

So, the dimensions of the vegetable patch is 8 m by 7 m.