Question

39 In figure three squares of equal side are arranged in a row. A
If the perimeter of ABCD is 80cm, The area of ABCD is
चित्र में तीन समान भुजा वाले वर्ग एक पंक्ति में रखें गये हैं यदि ABCD का
परिमाप 80cm हो तो ABCD का क्षेत्रफल है-
(A)280cm (B)300cm (C)540cm2 (D)3cm​

Answer 1

Area of ABCD  =  300 cm²

Step-by-step explanation:

Let say side of Square =  a cm

Then AC = BD = a cm

AB = CD = 3a cm

Perimeter = 2( a + 3a)  = 8a

8a = 80 cm

=> a = 10 cm

AC = BD = 10 cm

AB = CD = 30 cm

Area of ABCD  = 10 * 30  = 300 cm²

or area of each square = 10 * 10 = 100 cm²

area of figure by 3 Squares = 3 * 100 = 300 cm²

Area of ABCD  =  300 cm²

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