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ABCD is a rhombus .find AB.

ABCD is a rhombus .find AB.-example-1

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first find the value of x

since abcd is a rhombus, all sides should be equal, meaning 4x + 14 equals 7x + 1

put them into a simultaneous equation and solve for x

4x + 14 = 7x + 1

14 - 1 = 7x - 4x

13 = 3x

x = 13 ÷ 3
x = 4.333

substitute this value into 7x + 1 or 4x + 14

7 ( 13 ÷ 3 ) + 1 = 31.333 or 94 ÷ 3
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