A garden has a small rectangular lawn surrounded by a flower-bed of equal width. The lawn measures 5 metres by 12 metres and the flower-bed has a width of x metres. Write an expression for the area of the garden and flower-bed

To find the expression for the area of the garden and flower-bed, we need to add the area of the lawn and the area of the flower-bed.

The area of the lawn is given by the length multiplied by the width, which is 5 meters multiplied by 12 meters. So, the area of the lawn is 5 * 12 = 60 square meters.

The flower-bed surrounds the small rectangular lawn on all sides, which means its dimensions will be the length and width of the lawn plus twice the width of the flower-bed. Therefore, the width of the flower-bed will be added twice.

The length of the flower-bed will be the length of the lawn plus twice the width of the flower-bed. Similarly, the width of the flower-bed will be the width of the lawn plus twice the width of the flower-bed.

Let's assume the width of the flower-bed is x meters. Then, the length of the flower-bed will be (5 + 2x) meters, and the width of the flower-bed will be (12 + 2x) meters.

The area of the flower-bed is given by the length multiplied by the width, which is (5 + 2x) meters multiplied by (12 + 2x) meters. So, the area of the flower-bed is (5 + 2x) * (12 + 2x) square meters.

Finally, to find the expression for the area of the garden and flower-bed, we add the area of the lawn and the area of the flower-bed: 60 + (5 + 2x) * (12 + 2x) square meters.

(5+2x)(12+2x)