Question

The length of one side of a rectangle is 12 cm
The length of the diagonal of the rectangle 13 cm
Calculate the area of the rectangle​

Answer 1

Answer:

Step-by-step explanation:

Triangle

Use phytagorean theorem to get the length of the other side

$a^{2}+b^{2}=c^{2}$

a = length of one side

b = length of the other side

c = hypotenuse or the diagonal

$a^{2}+b^{2}=c^{2}$

$12^{2}+b^{2} = 13^{2}$

$144 +b^{2} = 169\\b^{2} = 169-144\\b^{2} = 25\\\sqrt{b} = \sqrt{25} \\b = 5 , b = - 5$

Since we are talking about the dimensions disregard the -5

AREA OF A RECTANGLE = LENGTH(WIDTH)

A = (LENGTH OF ONE SIDE)(LENGTH OF THE OTHER SIDE)

A = (12 cm)(5 cm)

A = 60 sq.cm.