Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is:
The page dimension is:
The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square
The margin of 0.75 on either sided means the usable dimension is:
The dimension of India is:
The longest side in India's dimension is:
From Uche's book, the longest dimension is:
So, the scale equation is:
k * longest length of Uche's book = longest side of India
This gives:
Read more about scale ratio at: