You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer:
m∠1=39°, m∠3=51°
Step-by-step explanation:
Angle 3 = 180-(39+90)
180-129=51
Angle 1 = 39 b/c of the corresponding angles.
2+8-z=-24
^
10-z=-24
-10 -10
——————-
-z=14
———
-z -z
Z=14
Answer:
72 units^3
Step-by-step explanation:
Finding the volume of a cube is as simple as length × width × height
3 × 4 × 6
72 units^3