Length of the diagonal is 24 cm
Step-by-step explanation:
- Step 1: Find the length of the diagonal of the rectangle using Pythagoras Theorem, where diagonal is the hypotenuse. This is possible because a rectangle has tight angles.
Diagonal² = Length² + Width²
= 24² + 10² = 576 + 100 = 676
⇒ Length of the diagonal = √676 = 24 cm
If the length of the rectangle is 6 and the perimeter is 54, multiply the length by 6 and subtract the answer from 54. Then, divide the answer by 2 to get the width.
So, I will use your formula for this as it is correct:
2l+2w=54
2(6)+2w=54
12+2w=54
2w=42
42/2=21
w=21
Therefore, your length is 21. Hope this helps!
1/4(2x - 14) = 4....multiply both sides by 4
2x - 14 = 4 * 4
2x - 14 = 16
2x = 16 + 14
2x = 30
x = 30/2
x = 15 <==
