Maths-
General
Easy
Question
A square icon image has a border that has an area of 704 square pixels and is 4 pixels wide. What is the area of the square image?
Hint:
The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2
Area of square = (side)2
The correct answer is: 7396
Area of the border = Area of the square of x+4 side - Area of the square of side x
= (x + 4)2 - x2
= (x + 4)(x + 4) - x2
= x(x + 4) + 4(x + 4) - x2
= x(x) + x(4) + 4(x) + 4(4) - x2
= x2 + 4x + 4x + 16 - x2
= 8x + 16
The area of the border is given as 704 square pixels
So, 8x + 16 = 704
8x = 704 - 16
x = 86 pixel
Area of the square image = x2
= 862 = 7396 square pixels
Final Answer:
Hence, the area of the square image is 7396 square pixels
The area of the border is given as 704 square pixels
Area of the square image = x2
= 862 = 7396 square pixels
Final Answer:
Hence, the area of the square image is 7396 square pixels
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