Question

PQRS is a rectangle. The ratio of the sides are 3:1. If the length of the diagonal is 10 cm, find out its area in cm2.​

Answer 1

Answer:

$\red{\textbf{Answer :- 30}}$${cm}^{2}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{PQRS is a rectangle }$

$\textsf{ratio of two sides = 3:1}$

IN Δ$\textsf{PQ : QR = 3:1}$

$\textsf{length of diagonal = 10cm}$

$\red{\textbf{To find :-}}$

$\textsf{Area of rectangle }$

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In Δ$\textsf{PQR}$,

$p {x}^{2} + {x}^{2} = 100$

${10x}^{2} = 100$

$x = \sqrt{10}$

$\textsf{Area of rectangle =}$

$3x \times 1x = {3x}^{2}$

$= 3 \times 10 = 30 \: {cm}^{2}$

$\textsf{ so , the area of rectangle is 30 }$${cm}^{2}$

$\red{\textbf{More information:-}}$

• a rectangle is a quadrilateral with four right angles.

• Area: length×width
• Perimeter: 2 x (length+width)
• Number of vertices: 4
• Number of edges: 4

• Internal angle: 90°