Question

From a rectangular glass 2 m by 3.5 m, a square of maximum size has been cut. What will be the shape and size of the leftover glass? The edges of both the pieces are smoothened. What will be the cost of smoothening its edges at the rate of 25 per metre? [HOTS]​

Answer 1

The leftover glass will be in the shape of a rectangle with dimensions 2m by 1.5m. The cost of smoothening its edges will be $175.

Step-by-step explanation:

To find the shape and size of the leftover glass, we need to find the size of the square that can be cut from the rectangle. Since the rectangle is 2m by 3.5m, we can cut a square of side length 2m from it. The leftover glass will be the remaining portion of the rectangle after the square is cut out.

The remaining portion of the rectangle will have sides of length 2m and 1.5m. So, the shape of the leftover glass will be a rectangle with dimensions 2m by 1.5m.

To find the cost of smoothening the edges of the leftover glass, we need to calculate the perimeter of the rectangle. The perimeter is given by the formula: P = 2(length + width). Substituting the given dimensions, we get P = 2(2 + 1.5) = 2(3.5) = 7m. The cost of smoothening at the rate of $25 per meter is then 7m x $25 = $175.