Mathematics
The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two paths are 8 m and 15 m as shown. Find the area of the shaded portion.
Mensuration
28 Likes
Answer
Given:
Length of the rectangular field = 80 m
Width of the rectangular field = 45 m
Area of shaded path = Area of path ABCD + Area of cross path EFGH - Area of path IJKL
Area of path ABCD = l x b = AB x BC
= 15 x 45 m2
= 675 m2
Area of path EFGH = l x b = EF x FG
= 8 x 80 m2
= 640 m2
Area of path IJKL = l x b = IJ x KL
= 15 x 8 m2
= 120 m2
Area of shaded path = 675 + 640 - 120 m2
= 1,195 m2
Hence, the area of shaded portion is 1,195 m2.
Answered By
20 Likes
Related Questions
The width of a rectangular room is of its length, x, and its perimeter is y. Write an equation connecting x and y. Find the length of the room when the perimeter is 4400 cm.
The length of a rectangular verandah is 3 m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x as the breadth of the verandah, write an equation in x that represents the above statement.
(ii) Solve the equation obtained in (i) above and hence find the dimensions of the verandah.
The rate for a 1.20 m wide carpet is ₹ 40 per metre; find the cost of covering a hall 45 m long and 32 m wide with this carpet. Also, find the cost of carpeting the same hall if the carpet, 80 cm wide, is at ₹ 25 per metre.
Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 metres. Give your answer correct to 2 places of decimals.