Question

the lot measure 12m by 20m and he wants to expand the size by adding an equla distance totwo of its sides as shown. however the new lot with expansion should not exceed 345metersquare,what range of distances in meters cam add in lot?

Answer 1

Answer: To find the range of distances that can be added to the lot while ensuring the new lot does not exceed 345 square meters, we can set up an equation.

Let's assume the distance to be added to each side is 'x' meters.

The new dimensions of the lot will be (12 + 2x) meters by (20 + 2x) meters.

The area of the new lot can be calculated as (12 + 2x) * (20 + 2x).

According to the given condition, the area of the new lot should not exceed 345 square meters.

So, we can set up the following inequality:

(12 + 2x) * (20 + 2x) ≤ 345

Simplifying this inequality will give us the range of distances that can be added to the lot.

Explanation:

plato