Question : The diagonal of a quadrilateral-shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is:
Option 1: 252 m2
Option 2: 156 m2
Option 3: 96 m2
Option 4: 1152 m2
Correct Answer: 252 m2
Solution : Given, the length of the diagonal, $d$ = 24 m Heights of perpendicular, $h_1$ and $h_2$, are 8 m and 13 m Area of given quadrilateral = $\frac{1}{2}\times d\times h_1+\frac{1}{2}\times d\times h_2$ = $\frac{1}{2}\times 24\times (8+13)$ = 252 m2 Hence, the correct answer is 252 m2.
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Question : What will be the area of a plot of quadrilateral shape, one of whose diagonals is 20 m and lengths of the perpendiculars from the opposite vertices on it are 12 m and 18 m, respectively?
Option 1: 400 m2
Option 2: 250 m2
Option 3: 200 m2
Option 4: 300 m2
Question : The area of a rectangular field is 480 m2. If the length is 20% more than the breadth, then the length of the rectangular field is:
Option 1: 30 m
Option 2: 20 m
Option 3: 24 m
Option 4: 27 m
Question : The length of cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.
Option 1: 1290.6 m2
Option 2: 1275.3 m2
Option 3: 1265.25 m2
Option 4: 1282.5 m2
Question : A field is in the form of a circle. The cost of fencing around it at INR 12 per metre is INR 2,640. What is the area (in m2) of the field? (Take $\pi=\frac{22}{7}$)
Option 1: 1,925 m2
Option 2: 3,850 m2
Option 3: 2,772 m2
Option 4: 5,544 m2
Question : A hall of 10 m in length, 5 m in width, and 6 m in height is to be painted (one side only). Determine the total surface area to be painted. (neglect the area of windows and doors)(floor area is NOT to be painted)
Option 1: 300 m2
Option 2: 280 m2
Option 3: 330 m2
Option 4: 230 m2
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