The area of square with diagonal 10 cm is:
100 cm²
50 cm²
25 cm²
75 cm²

Question

The area of square with diagonal 10 cm is: 1. 100 cm² 2. 50 cm² 3. 25 cm² 4. 75 cm²

KnowledgeBoat · Accepted Answer

Given: The diagonal of the square is 10 cm. Let each side of the square be `a` cm. Then, by using the Pythagoras theorem, ⇒ Diagonal² = Side² \+ Side² ⇒ (10)² = a² \+ a² ⇒ 100 = 2a² ⇒ a² = ⇒ a² = 50 ⇒ a = ⇒ a = 5 As we know, the area of a square = side² = (5 ) ² cm² = 25 x 2 cm² = 50 cm² Hence, option 2 is the correct option.

Mathematics

The area of square with diagonal 10 cm is:
100 cm²
50 cm²
25 cm²
75 cm²

Area Trapezium Polygon

Related Questions

The area of a square, with perimeter 16 cm is :
16 cm²
8 cm²
12 cm²
128 cm²

The perimeter of square with area 169 m² is :
52 m
26 m
39 m
19.5 m²

Find the length and perimeter of a rectangle, whose area = 120 cm² and breadth = 8 cm.

The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal

Mathematics

The area of square with diagonal 10 cm is:100 cm250 cm225 cm275 cm2

Area Trapezium Polygon

Related Questions

The area of a square, with perimeter 16 cm is :16 cm28 cm212 cm2128 cm2

The perimeter of square with area 169 m2 is :52 m26 m39 m19.5 m2

Find the length and perimeter of a rectangle, whose area = 120 cm2 and breadth = 8 cm.

The perimeter of a rectangle is 46 m and its length is 15 m. Find its :(i) breadth(ii) area(iii) diagonal

The area of square with diagonal 10 cm is:
100 cm²
50 cm²
25 cm²
75 cm²

The area of a square, with perimeter 16 cm is :
16 cm²
8 cm²
12 cm²
128 cm²

The perimeter of square with area 169 m² is :
52 m
26 m
39 m
19.5 m²

Find the length and perimeter of a rectangle, whose area = 120 cm² and breadth = 8 cm.

The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal