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koban [17]
3 years ago
11

The length of a rectangle is four times it's width and has an area of 1024cm squared. Work out the width of the rectangle

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

Width = 16 cm

Step-by-step explanation:

Given that

Area of rectangle = 1024 cm²

Length of rectangle = four times the width

Let the width of rectangle be  W cm

Now we know that Area of rectangle = Length × Width

Or,                          Area of rectangle = (4 × width ) × width

                                1024 cm² = 4 × W²

                                \frac{1024}{4} = W²

                                256 = W²

∴                               W = \sqrt{256}

Or,                            W = 16 cm

Hence the width of given rectangle is 16 cm        Answer.

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