The perimeter of a rectangle is 84cm. Its shortest side has a length of 3cm.
State the length of the longest side.

39 cm

Step-by-step explanation:

The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.

Let us use w as 3 cm.

The perimeter of the rectangle is 2(3) + 2l = 6 + 2l

6 + 2l = 84 cm

We move the 6 to the left hand side and it goes from positive to negative.

2l = 84 - 6cm

2l = 78 cm

Divide both sides by 2.

l = 39 cm

There you have the answer for side l.

Hope this helps.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47