Question

A rectangle is 2.8cm wide and the length of each diagonal is 5.3 calculate the length of the rectangle ?

Answer 1

Answer:

The length of the rectangle will be equal to 4.5 cm

Step-by-step explanation:

in a rectangle, wide w is 2.8 cm and and length of diagonal is 5.3 cm. To find the length we will use pythagoras theorem, which is given as

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

where a = width w, b = length l and c = diagonal d

so we will now have $w^{2}$ + $l^{2}$ = $d^{2}$

Then we will have

$2.8^{2}$ + $l^{2}$ = $5.3^{2}$

7.84 + $l^{2}$ = 28.09

$l^{2}$ = 28.09 - 7.84

$l^{2}$ = 20.25

l = $\sqrt{20.25}$

l = 4.5

Therefore, the length of the rectangle is 4.5 cm