Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 <em>(</em><em>expand</em><em>)</em>
W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
Answer:
D
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 0.5h(a + b)
where h is the perpendicular height and a, b the parallel sides.
Given A = 120, then
0.5 × 8(a + b) = 120, that is
4(a + b) = 120 ( divide both sides by 4 )
a + b = 30 cm → D
1.6 not sure if it’s correct but I hope I helped
Answer: 6
Step-by-step explanation:
Let's use a rule of three here.
2 rooms in 1/3 h
x rooms in 1 h
Solve for x;
Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.
1/3 inverted is 3/1 or 3
Volume is 3 dimentional
cm is 1 dimentional: legnth
L=liters=volume=cubic meter
ml=mililiter=volume=cubic centimeter
cm^3=mililiter
cm is the answer
weight is the measurement of the amount of gravity of an object, it changes depending on where you are (on moon, something has less weight than on earth)
mass is how much matter is in something, doesn't matter where you are (on moon, still same mass as on earth)
FALSE
