Question

A rectangular piece of cardboard is 16y cm long and 23 cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?

Answer 1

Answer:

Area of remaining cardboard is 224y^2 cm^2

a + b = 226

Step-by-step explanation:

The complete and correct question is;

A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?

Solution;

Mathematically, at any point in time

Area of the cardboard is length * width

Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2

Area of the cuts;

= 4 * (6y)^2 = 4 * 36y^2 = 144y^2

The area of the remaining cardboard will be :

368y^2-144y^2

= 224y^2

Compare this with;

ay^b

a = 224, and b = 2

a + b = 224 + 2 = 226