Ram wants to decorate her Christmas tree. he wants to place the tree on a wooden block covered with coloured paper with picture of Santa. Claus on it. he must know the exact quantity of paper to buy for this purpose. If the box has breadth and height as 70cm and 40cm respectively.
Then find the length . and How many square sheets of paper of side 30cm would she require?
Answers
Answer:
Given :-
Area of the triangle = 126 cm²
Base of the triangle = 56 m
To Find :-
Height of the triangle.
Solution :-
Area of the triangle :-
\green{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times base \times height }:⟹Area=
2
1
×base×height
\green{:\implies\:\:\:}\sf{126 = \dfrac{1}{2} \times 56 \times h }:⟹126=
2
1
×56×h
\green{:\implies\:\:\:}\sf{126 = 28 \times h }:⟹126=28×h
\green{:\implies\:\:\:}\sf{h= \dfrac{126}{28} }:⟹h=
28
126
\green{:\implies \:\:\:}\underline{\boxed{\pink{\mathfrak{h = 4.5\:m}}}}:⟹
h=4.5m
∴ Height of the triangle = 4.5 m
To check ↓
Area of the triangle :-
\blue{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times b \times h }:⟹Area=
2
1
×b×h
\blue{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times 56 \times 4.5 }:⟹Area=
2
1
×56×4.5
\blue{:\implies\:\:\:}\sf{Area = 28 \times 4.5 }:⟹Area=28×4.5
\blue{:\implies\:\:\: }\underline{\boxed{\purple{\mathfrak{Area = 126 \:cm^2}}}}:⟹
Area=126cm
2
Hence Verified! :D
Step-by-step explanation:
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