please help me, tomorrow is my exam!!!
In rectangle ABCD , length AB measures x+7 cm, while length CD measures 3x- 5 cm. If the breadth BC of the rectangle measures 2x-2 cm, then find the measures of all its sides.
please give me the answer.
thank you
AB = x + 7 cm
CD = 3x - 5 cm
BC = 2x - 2 cm
Length of opposite sides of rectangle is equal to each other.
=> x + 7 = 3x - 5
= 7 + 5 = 3x - x
= 12 = 2x
= 12/2 = x
= 6 = x
AB = x + 7 cm = 6 + 7 cm = 13 cm
CD = 3x - 5 cm = 3*6 - 5 = 13 cm
BC = 2x - 2 cm = 2*6 - 2 cm = 10 cm
AD = 10 cm ( Length of opposite sides of rectangle is equal to each other. )
Therefore, all sides measure are -
AB = 12 cm
CD = 12 cm
BC = 10 cm
AD = 10 cm