Question

How do you solve this problem quickkkkkkk!!!!!!!

Answer 1

Answer:

Use Pythagoras theorem to find the length of the square

c2-b2=a2

84.33 x 84.33 - 81.66 x 81.66 = a2

a= square root of 443.19

a= 21.052

Area of square = l x l

= 21.052 x 21.052

=443.19

Round it off to nearest hundred:

Ans) 400 cm2

Answer 2

Answer:

443.19 square cm

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing leg of the triangle, a, which is also the length of the square.

b = 81.66 and c = 84.33

$a^{2} +81.66^{2} =84.33^{2} \\a^{2} +6668.3556 = 7111.5489\\a^{2} +6668.3556-6668.3556=7111.5489-6668.3556\\a^{2} =443.1933\\\sqrt{a^{2} } =\sqrt{443.1933} \\a=21.052$

Now you can find the area of the square, since you know the length is 21.052.

$a =s^{2} \\a=21.052^{2} \\a = 443.19$

Answer is rounded to the nearest hundredth