AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

a) 2√2

b) 6

c) 4√2

d) 8

e) 8√2

Question

Ciara Dyer

Mathematics

18 April, 06:10

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

a) 2√2

b) 6

c) 4√2

d) 8

e) 8√2

+4

Answers (1)

Know the Answer?

Katherine Villarreal · Answer 1

Option d.

as we know the corner of a square is always 90°. So we can apply that (side of the square) ^2 + (side of the square) ^2 = (diagonal of the side) ^2

(side of the square) ^2 + (side of the square) ^2 = 16

16/2=8

8 = (side of the square) ^2

side of square = squareroot of 8

area of square = squareroot of 8^2=8

hence answer is 8

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?a) 2√2b) 6c) 4√2d) 8e) 8√2

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

a) 2√2

b) 6

c) 4√2

d) 8

e) 8√2