Determine and prove what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact va
lue.
A(24, −8), B(12, −17), C(3, −5), D(15, 4)
The shape is a .
The perimeter of ABCD is .
The area of ABCD is .
A(24, −8), B(12, −17), C(3, −5), D(15, 4)
The shape is a .
The perimeter of ABCD is .
The area of ABCD is .
1 answer:
Answer:
square; 60; 225.
Step-by-step explanation:
1) using the vectors rules to calculate the lengths of the sides AB; BC; CD and AD. When AB=BC=CD=AD it means, the shape is a square of rhombus.
2) using the vectors rules to calculate the lengths of the diagonales AC and BD. When AC=BD it means, the shape is a square.
3) The perimeter of the square ABCD is 15*4=60.
4) The area of the square ABCD is 15*15=225.
All the details are in the attached picture; answers are marked with colour.
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