Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
<em>Expand:</em>
2W² +W= 28
<em>-28 on both sides:</em>
2W² +W -28= 0
<em>Factorise</em><em>:</em>
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Answer:
A
Step-by-step explanation:
E is the center of the line (or segment) in this case
Answer:
<h2>r = 6</h2>
Step-by-step explanation:
18 - r = 12 <em>subtract 18 from both sides</em>
18 - 18 - r = 12 - 18
-r = -6 <em>change the signs</em>
r = 6
<em>Check</em>
18 - 6 = 12 <em>CORRECT</em>
Properties of a rhombus:
1. the all sides are equal
2. opposite angles are equal
3. consecutive angles are supplementary
4. The diagonals bisect the angles.
5. The diagonals are perpendicular bisectors of each other.
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∵ abcd is <span>a rhombus:
</span>
<span>∴ ∠ abc = 2 ∠ebc = 2 * 36° = 72° ⇒⇒⇒ property number (4)
</span>
<span>∴ ∠ dab = 180 - ∠abc = 180° - 72° = 108° </span><span>⇒⇒⇒ property number (3)
</span>
∴ ∠ dae = 108°/2 = 54° <span>⇒⇒⇒ property number (4)
</span><span>
</span><span>
</span><span>See the attached figure.</span>
I do not belive my answer is right but 100:110 maybe? Sorry if I'm wrong.