Question

18.Given a rectangle PQRS With PQRS = 40°, find the angle SQR.
°

19.
The sides of a rectangle are in the ratio 1 : 2 and its perimeter is 24 cm. Find the sides.


20. In the following figure, ABCD is a trapezium in which AB || DC. Find the measure of angle C.


PLZ ANSWER​

Answer 1

Answer:

19: Let the rational between the length and breadth be x

Thus the length of the rectangle is 3x and breadth of rectangle is 2x

Perimeter = 2 ( length + breadth)

Perimeter = 50 cm.

50 cm = 2 (3x + 2x)

50 cm = 2 × 5x

10x = 50

x = 50/10

x = 5

The rational is 5. Hence the dimensions of rectangle

Length of rectangle 3x = 3 × 5 = 15 cm.

Breadth of rectangle 2x = 2 × 5 = 10 cm.

Answer: Length of rectangle is 15 cm. and Breadth of rectangle is 10 cm.

18: Let X be point along SR in rectangle PQRS, where PQ=SR=40 and QR=PS=15, and all the interior angles are 90 degrees.

Triangle QRX is isosceles because angle QXR= angle RQX =90/2=45 degrees. So XR=QR=15, and SX=40-XR= 40–15=25.

Hence required ratio of SX/XR= 25/15= 5/3.

20:angle b + angle c = 180

angle c = 180 - angle b

180-45=135 degree

angle c = 135 degree

angle a + angle d = 180

angle d=180-45

angle d=135 degree

Step-by-step explanation:

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