Question
The area of the rectangle is 𝑥2 + 11𝑥 + 28. Its length is x + __ and its width is __+ 4. Find the missing terms in the length and the width.
Hint:
-
- Area of rectangle is given by product of length and breadth.
- Area of rectangle = length × breadth.
- Area of rectangle = l × b
- Area of rectangle is given by product of length and breadth.
- Area of rectangle = length × breadth.
- Area of rectangle = l × b
The correct answer is: Hence, missing terms in length and width are 7 and x respectively.
Answer:
- Step by step explanation:
- Given:
Area of triangle = x2 + 11x + 28
- Step 1:
- Factorise x2 + 11x + 28.
So,
x2 + 11x + 28
split the middle term
x2 + 7x + 4x + 28
take common terms
x(x+7) + 4(x + 7)
(x+ 4) (x + 7)
Hence, the above two terms be length and width of rectangle.
- Step 2:
- Compare terms with length and breadth.
Length is given by (x + _)
And width is given by (_ + 4)
Hence,
Length is x + 7
Width is x + 4.
- Final Answer:
Hence, missing terms in length and width are 7 and x respectively.
- Step by step explanation:
- Given:
split the middle term
take common terms
Hence, the above two terms be length and width of rectangle.
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