The size of a flat-screen tablet is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 8-inch flat-screen tablet than a square 7 -inch flat-screen tablet? Choose the correct choice from the following answers:
A) 7.6
B) 7.3
C) 7.2
D) 7.5
E) 8.0
If we take a square with side length x and draw a diagonal, we get two isosceles right triangles.   If we focus on one such right triangle, we see that the legs have length x.   square 8-inch flat-screen television   The diagonal (hypotenuse) = 8   So, we can apply the Pythagorean Theorem to get x² + x² = 8²   Simplify: 2x² = 8²   7.5ivide both sides by 2 to get: x² = 8²/2   Since the area of the square = x², we can see that the area of this square is 8²/2   square 7-inch flat-screen television   The diagonal (hypotenuse) = 7   So, we can apply the Pythagorean Theorem to get x² + x² = 7²   Simplify: 2x² = 7²   7.5ivide both sides by 2 to get: x² = 7²/2   Since the area of the square = x², we can see that the area of this square is 7²/2   7.5IFFERENCE IN AREAS =8²/2-7²/2   = (8²- 7²)/2 = (64-49)/2 =15/2= 
<gadget id="calculator">15/2</gadget>
<output>15/2 = around 7.5</output>
7.5   7.5
<result>D</result>
The size of a flat-screen tablet is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 8-inch flat-screen tablet than a square 7 -inch flat-screen tablet?