A rectangular piece of a canvas measures 35 m by 18 m. A triangular piece with base 18 m and height 12 m is cut from the canvas. Find the area of the remaining piece.
Answers
★Given:-
- A rectangular piece of a canvas measures 35 m by 18 m.
- A triangular piece with is cut from the canvas.
- Base of triangular piece = 8m
- Height = 12m
★To find:-
- The area of the remaining piece.
★Solution:-
Using the formula,
✯Area of rectangle = l×b
Where,
- Length = l = 35m
- Breadth = b = 18m
- Area = ?
Putting values in the formula,
Area of rectangular piece of canvas:-
➪35×18
➪630m²
Using the formula,
✯Area of triangle = 1/2×b×h
Where,
- Base = b = 18m
- Height = h = 12m
Putting values in the formula,
Area of triangular piece :-
➪1/2 × b× h
➪1/2 × 18 × 12
➪18 × 6
➪108m²
Area of remaining piece :-
➪Area of rectangar canvas - Area of triangular piece
➪630 - 108
➪522m²
Hence,the area of remaining piece is 522m².
__________________________
★ Given:
A rectangular piece of canvas of length 35 m and breadth 18 m.
A triangular piece of canvas of base 18 m and height 12 m cut off from it.
★ To Find:
The area of the remaining portion.
★ Analysis
In this question we will first have to find the area of the rectangular sheet and subtract the area of the triangular sheet from it.
★ Solution:
Please refer the attachment for pictorial representation.
→ The rectangular canvas sheet
Length = 35 m
Breadth = 18 m
Area of a rectangle = lb
= 35 x 18
= 630 m²
→ Area of the triangular canvas sheet cut from it
Base = 18 m
Height = 12 m
Area of a triangle = 1/2bh
= 108 m²
→ Area of the remaining piece of canvas
Total area of sheet - Area of rectangular sheet
= 630 - 108
= 522 m²
Hence the area of the remaining piece of canvas is 522 m².
Important Area Formulae:
→ Area of a square = a²
→ Area of a rectangle = lb
→ Area of a circle = πr²
→ Area of a parallelogram = bh
→ Area of a rhombus = bh (or) 1/2 x d1 x d2
→ Area of a right angled triangle = 1/2bh
