Question

ABCD is a square. If ar (ABCD) =36 cm², then AB= ?​

Answer 1

Answer:

area = (side) ²

36= side²

√36= side

6 = side

In square all sides are equal

AB = 6 cm

Answer 2

Answer:

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Step-by-step explanation:

Given : ABCD is a square. F is the midpoint of AB. BE = ⅓ BC. ar∆FBE = 108 cm²

Let the side of a square be x cm . Therefore AB = BC = CD = DA = x cm

Since, F is the mid-point of AB

Then, AF = FB = AB/2 = x/2

Since, BE = ⅓ BC = x/3

BE = x/3

ar ∆FBE = 108 cm²

½ × BE × FB = 108 cm²

½ × x/2 × x/3 = 108

x² = 108 × 2 × 3 × 2

x² = 1296

x = √1296

x = 36 cm

AB = BC = CD = DA = 36 cm

In ∆ABC,

AC² = AB² + BC²

[By using pythagoras theorem]

AC² = x² + x²

AC² = 2x²

AC = √2x

AC = √2 × 36

AC = 36√2

AC = 36√2

AC = 36 × 1.414

[Value of √2 = 1.414]

AC = 50.904 cm

Hence, the length of AC is 50.904 cm

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