10904.What is the area of square field whose side of length 15 m?
225 sq m
220 sq m
100 sq m
30 sq m
Explanation:
$15 \times 15$ = 225 sq m
10905.What is the area of a square field whose diagonal of length 20 m?
300 sq m
250 sq m
200 sq m
400 sq m
Explanation:
$\dfrac{d^2}{2}$ = $\dfrac{\left(20\times20\right)}{2}$ = 200 sq m
10906.What is the perimeter of a square field whose diagonal is 8v2?
64 m
32 m
30 m
16 m
Explanation:
$a\sqrt{2}= 8\sqrt{2} \rightarrow a=8$
10907.The ratio of the area of a square to that of the square drawn on its diagonal is?
2:5
3:4
3:5
1:2
Explanation:
$a^2:\left(a\sqrt{2}\right)^2$
$a^2:2a^2 \rightarrow$ 1:2
10908.The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
15$\sqrt{2}$ cm
13$\sqrt{2}$ cm
16$\sqrt{2}$ cm
17$\sqrt{2}$ cm
Explanation:
4a = 48
4a = 20
a = 12 a = 5
$a^2$ = 144 $a^2$ = 25
Combined area = $a^2$ = 169 => a = 13
d = 13$\sqrt{2}$
10909.If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
650 m
600 m
200 m
300 m
Explanation:
2(l + 100) = 600 => l = 200 m
10910.A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
12 m, 10 m
13 m, 12 m
14 m, 11 m
15 m, 10 m
Explanation:
lb = 150
2(l + b) = 50 => l + b = 25
l - b = 5
l = 15 b = 10
10911.One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
12 sq m
4$\sqrt{14}$ sq m
20 sq m
15 sq m
Explanation:
5=$\sqrt{4^2+b^2}\rightarrow b^2 =9$
lb = 3 $\times$ 4 = 12
10912.A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is?
11 m
12 m
13 m
14 m
Explanation:
20=$\sqrt{16^2+b^2}\rightarrow$ b =12
10913.Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
