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

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

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* b`

`P=2(l+b)`

Substituting the values in the above formulas as :

`l* 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.