Question

Maggies living room is the shape of a rectangle its dimensions are 21’ x 40’ what is the length of the diagonal rounded answer to the nearest 10th if necessary

Answer 1

Answer:

The length of the diagonal is $45.2^{'}$

Step-by-step explanation:

In this question, we are concerned with calculating the length of the diagonal of the room.

Mathematically, we need top picture a right-angled triangle where the diagonal is the hypotenuse and the length and width of the rectangle represents the other sides of the triangle

Since it is a right-angled triangle, we shall use Pythagoras' theorem to calculate the length of the diagonal. Let  us call this d

Mathematically;

$d^{2} = 21^{2} + 40^{2}$

$d^{2}$ = 441 + 1600

$d^{2}$ =  2041

d = $\sqrt{2041}$

d = 45.18 inch which is 45.2 inch to the nearest tenth