can anyone help me with this and explain me this?
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Answer:
Well, for this you have to do the following:
Let length be 'x' cm, then according to the question, breadth = x-7 cm
It is given that diagonal = 13 cm
We know that corner angles of rectangle are right angle therefore by using Pythagoras Theorem, we can have
13×13 = x² + (x-7)²
169 = x² + x² + 49 - 14x
169 - 49 = 2x² - 14x
120 = 2x² - 14x
Dividing both sides by 2
60 = x² - 7x
x² - 7x - 60 = 0
Now by Middle Term Splitting
x² - 12x + 5x - 60 = 0
x(x-12) + 5(x-12) = 0
(x+5)(x-12) = 0
Hence x = -5 and 12
Since any measurement can't be in negative we will take x = 12
Thus
Length = 12 cm
Breadth = 12-7 = 5 cm
Arigato ^_^
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