The length of a rectangle is 10 cm more than the breadth. Find the diagonal leng

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Question
The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?
Options
A. 12.50 cm
B. 14.21 cm
C. 15.98 cm
D. 17.08 cm

Correct Answer

17.08 cm

Explanation

Let the length of the rectangle = L cm

Then the breadth of the rectangle = (L - 10) cm

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = $\sqrt{L^{2} + B^{2}}$ = $\sqrt{16^{2} + 6^{2}}$ = 17.08 cm

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Options
A. Rs. 4680
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C. Rs. 6000
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2. The circumference of a circle, whose area is 24.64 sq.m
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A. 14.64
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3. A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?
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A. 50
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C. 70
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Options
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Options
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Options
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Options
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Options
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