Respuesta :

Answer:

5 m , 3 m , 15 m²

Step-by-step explanation:

Given area (A) = x² - 12x + 35 and A = length × breadth , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

We know length = x - 5 , then breadth = x - 7

When x = 10

length = x - 5 = 10 - 5 = 5 m and breadth = x - 7 = 10 - 7 = 3 m

A = 10² - 12(10) + 35 = 100 - 120 + 35 = 15 m²

or

A = length × breadth = 5 × 3 = 15 m²
(i)
Area of rectangle = length * breadth
So,
x^2 - 12x + 35 = (x - 5) * breadth

Factorize area and divide by length to simplify.
=> {(x-5)(x-7)} / (x-5) = breadth
=> x-7 = breadth

Therefore, breadth = 7

(ii)
Length = 10 - 5 = 5m
Breadth = 10 - 7 = 3m
Area = 10^2 - 12(10) + 35 = 15sq.m

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