If a rectangle's actual area and approximate area is the same, the rectangle is called a Quirky Rectangle. Find the dimensions of all Quirky Rectangles with side lengths under 100mm.
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Area of rectangle = area of circle.
Now,
Length of rectangle = 14 cm.
Breadth of the rectangle = 11 cm.
Area of rectangle = length × breadth
⇒ 14 × 11
⇒ 154 cm²
Now,
Area of circle = 154 cm²
⇒πr² = 154 cm²
\begin{lgathered}⇒ \frac{22}{7} \times r {}^{2} = 154 \\ \\ ⇒22r {}^{2} = 154 \times 7 \\ \\ ⇒22r {}^{2} = 1078 \\ \\ ⇒r {}^{2} = \frac{1078}{22} \\ \\ r {}^{2} = 49 \\ \\ ⇒r = \sqrt{49} \\ \\ \therefore r = 7\end{lgathered}⇒722×r2=154⇒22r2=154×7⇒22r2=1078⇒r2=221078r2=49⇒r=49∴r=7
Hence, radius of circle = 7 cm
williamdinh1:
it isnt about the circles just rectangles tho
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Answer:
Lmao this is a question for Math Olympiads
Step-by-step explanation:
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