Mensuration Practice Set – Success Khan mathematics-ps-21-1 questions with answers and explanation.

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One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field. — एक आयताकार क्षेत्र की एक भुजा 15 मीटर है और इसके विकर्णों में से एक 17 मीटर है। जगह का क्षेत्रफल खोजें।

The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas. — दो वर्गों के विकर्ण 2:5 के अनुपात में हैं। उनके क्षेत्रफलों का अनुपात खोजें।

Answer: Option B Explanation:Let the diagonals of the squares be 2x and 5x respectively. So, ratio of their areas = ^{1}⁄_{2} × (2?^{2}) : ^{1}⁄_{2} × 5?^{2} = 4?^{2} : 25?^{2} = 4 : 25

Find the area of a rhombus one side of which measures 20 cm and one diagonal 24 cm. — एक विषमकोण का एक क्षेत्रफल खोजें जिसकी एक भुजा 20 सेमी और एक विकर्ण 24 सेमी है।

Answer: Option D Explanation:Let other diagonal = 2x cm. Since diagonals of a rhombus bisect each other at right angles, we have : (20)^{2} = (12)^{2} + ?^{2} x = √20^{2} − 12^{2} = √256 = 16 cm. So, other diagonal = 32 cm. So, area of rhombus = ^{1}⁄_{2} × (Product of diagonals) = [^{1}⁄_{2} × 24 × 32] ??^{2} = 384 ??^{2}

Find the area of right angled triangle whose base is 12 cm and hypotenuse is 13 cm. — एक समकोण त्रिभुज का क्षेत्रफल खोजें जिसका आधार 12 सेमी है और कर्ण 13 सेमी है।

Answer: Option A Explanation:Height of the triangle = √13^{2} − 12^{2} cm = √25 cm = 5 cm. So, its area = ^{1}⁄_{2} × Base × Height = [^{1}⁄_{2} × 12 × 5] ??^{2} = 30 ??^{2}

The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same? — एक आयताकार की लंबाई 18 सेमी है और इसकी चौड़ाई 10 सेमी है। जब लंबाई 25 सेमी तक बढ़ जाती है और क्षेत्रफल समान रहता है तो आयताकार की चौड़ाई क्या होगी?

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet? — एक आयताकार पार्किंग स्थान को इसकी तीन भुजाओं को पेंट करके चिह्नित किया जाता है। यदि बिना पेंट वाली भुजा की लंबाई 9 फीट है, और पेंट वाली भुजाओं की लंबाई 37 फीट है, तो वर्ग फुट में पार्किंग की जगह का क्षेत्रफल क्या है?

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Hope this SSC CGL Question paper pdf provided by us will be helpful in passing your upcoming SSC CGL Examination. You are requested to download this SSC CGL Question paper pdf and solve it. This will help you in getting maximum marks in the upcoming examinations. a rectangular parking space is marked out by painting three of its sides. if the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet