□PQRS is a rectangle with PQ = 14 cm, QR = 21 cm. Find the areas of the parts x, y and z.

In figure 7.35, □PQRS is a rectangle. If PQ = 14 cm, QR = 21 cm, find the areas of the parts x, y and z.

Figure: x is the quarter-circle sector with centre Q and radius QP (its arc runs from P to a point T on side QR, QT = 14 cm); y is the quarter-circle sector with centre R and radius RT (= 7 cm); z is the remaining part of the rectangle.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: x = 154 cm², y = 38.5 cm², z = 101.5 cm²

x is a quarter circle with radius 14 cm: \(x=\tfrac14\times\tfrac{22}{7}\times196=154\) cm².

y is a quarter circle with radius \(21-14=7\) cm: \(y=\tfrac14\times\tfrac{22}{7}\times49=38.5\) cm².

Area of rectangle \(=14\times21=294\) cm², so \(z=294-154-38.5=101.5\) cm².

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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□PQRS is a rectangle with PQ = 14 cm, QR = 21 cm. Find the areas of the parts x, y and z.

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