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Help ASAP
The diagram shows a trapezium ABCD and a square PQRS.
AD=8cm
DC=3AB
The perimeter of the square is 24cm
The area of the square is half the area of the trapezium work out the length of AB

Help ASAP The diagram shows a trapezium ABCD and a square PQRS AD8cm DC3AB The perimeter of the square is 24cm The area of the square is half the area of the tr class=

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abidemiokin

Answer:

AB = 2.25

Step-by-step explanation:

Perimeter of square = 4L

24 = 4L

L = 24/4

L = 6cm

Hence the side length of square is 6cm

Area of square = L^2

Area of square = 6^2

Area of square = 36 sq. cm

Area of square = 1/2 * Area of the trapezium

36 = 1/2 * (AB+3AB)*8

72 = (AB+3AB)*8

72 = 4AB * 8

72 = 32AB

AB = 72/32

AB = 2.25

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