Question

Find lateral Area

9.7km
A) 178 km²
B) 166. 1 km²
c) 84.4km?
D 135.8 km2
1
A
ns
7km
7km

Answer 1

135.8 km² {option d}

Explanation:

The given information is,

→ Height (h) = 9.7 km

→ Base (b) = 7 km

Formula we use,

→ 1/2 × b × h

The area of the face of triangle will be,

→ x = 1/2 × b × h

→ x = 1/2 × 7 × 9.7

→ x = 1/2 × 67.9

→ x = 67.9/2

→ [ x = 33.95 ]

The lateral area of the triangle will be,

→ 4 × x

→ 4 × 33.95

→ [ 135.8 km² ]

Hence, the lateral area is 135.8 km².

Answer 2

d) 135.8 km²

Explanation:

The lateral area of a square-based pyramid is the sum of the areas of its triangular faces.

Area of a triangle = 1/2 × base × height

Given:

• base = 7 km
• height = 9.7 km

⇒ area of triangular face = 1/2 × 7 × 9.7

= 33.95 km²

Total lateral area = 4 × area of triangular face

= 4 × 33.95

= 135.8 km²