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Answer:
got assist for the q 17
let x be the b and x+4 be the l
then
2 (l+b)= 84
2×(x+4+x)=84
2×(2x+4)=84
4x+8= 84
x =72/4=18 heres it dude
Step-by-step explanation:
Solutions :-
17)
Let the breadth of a rectangle be X cm
Length of the rectangle = Breadth +4 cm
=> l =( X+4 ) cm
we know that
Perimeter of a rectangle = 2(l+b) units
Perimeter of the given rectangle
=> 2(X+4+X) cm
=> 2(2X+4) cm
=> (4X+8) cm
According to the given problem
Perimeter of the rectangle = 84 cm
=> 4X+8 = 84
=> 4X = 84-8
=>4X = 76
=> X = 76/4
=> X = 19
Breadth = 19 cm
Length = 19+4 = 23 cm
Answer :-
Length of the rectangle = 23 cm
Breadth of the rectangle = 19 cm
Check:-
The length =23 cm
The breadth = 19 cm
Length = 23=19+4
Length exceeds the breadth by 4cm
Perimeter = 2(23+19)
=> 2(42)
=> 84 cm
Verified the given relations in the given problem.
18)
Given that
Ratio of the angles of the triangle = 1:4:5
Let they be X° , 4X° and 5X°
We know that
The sum of the three angles in a triangle =180°
=> X°+4X°+5X° = 180°
=> 10X° = 180°
=> X°=180°/10
=> X° = 18°
Now,
4X°=4(18°)=72°
5X°=5(18°)=90°
Answer:-
The three angles of the given triangle are 18°,72°,90°
Check:-
The angles are 18°,72°90°
Their ratio = 18:72:90
(1×18):(4×18):(5×18)
=> 1:4:5
Verified the given relations in the given problem.
Used formulae:-
- Perimeter of a rectangle = 2(l+b) units
- The sum of the three angles in a triangle =180°