Question

From the figure of a rectangle given alongside, find the: (1) value of x. (ii) perimeter of the rectangle, (iii) side of a square, whose perimeter is equal to the perimeter of the given rectangle 2x + 5 cm​

Answer 1

Answer:

i) x = 9cm

ii) Perimeter of Rectangle = 88cm

iii) Side of square = 22cm

Step-by-step explanation:

i) AB = CD

2x + 5 = 4x - 13

2x - 4x = -13 - 5

-2x = -18

x = 9cm

AD = BC

3x - 6 = BC

3(9) - 6 = BC

BC = 21cm

AB = 2x + 5

AB = 2(9) + 5

AB = 23cm

CD = 4x - 13

CD = 4(9) - 13

CD = 23cm

∴ l = 23cm & b = 21cm

ii) Perimeter of Rectangle = 2(l + b)

= 2(23 + 21)

= 2(44)

= 88cm

iii) Side of Square

Perimeter of square = Perimeter of Rectangle

4a = 88

a = 88/4

a = 22cm

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Hope it helps you!!

:)

Answer 2

Answer:

Step-by-step explanation: