Question

Write the following Give possible expression for the length and breadth of the rectangle whose area is x2-22x + 120. 0.85 X 0.85 X 0.85 + 0.15 X 0.15 X 0.15 Prove that, 085 X 0.85-0.85 X 0.15 + 0.15 X 0.15 = 1.
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Answer 1

Answer:

(i) Let us first factorize the given expression 25a ^ 2 - 35a + 12 as shown below: 25a ^ 2 - 35a + 12; =25a^ 2 -15a-20a+12; =5a(5a-3)-4(5a-3); =(5a-4)(5a-3) Therefore, the area of the rectangle is (5a - 4)(5a-3) and we also know that the area of the rectangle is A = lengtht . Hence, the length and breadth can both be (5a - 4) or * (5a - 3) . (ii) Let us first factorize the given expression 24x ^ 2 - 15x as shown below: 24x ^ 2 - 15x; =x(24x-15) Therefore, the area of the rectangle is x(24x- 15) and we also know that the area of the rectangle is A = lengtht . Hence, the length and breadth can both be x or (24x - 15) .