cahquinta cahquinta
  • 09-07-2020
  • Mathematics
contestada

Find the lateral area of the square pyramid shown to the nearest whole number.
25 yd
A
43 yd

Find the lateral area of the square pyramid shown to the nearest whole number 25 yd A 43 yd class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-07-2020

Answer:

4,300

Step-by-step explanation:

Lateral area of a squared Pyramid is given as ½ × Perimeter of base (P) × slant height of pyramid

Thus, we are given,

Side base length (s) = 43 yd

height (h) = 25 yd

Let's find the perimeter

Permimeter = 4(s) = 4(43) = 172 yd

Calculate the slant height using Pythagorean theorem.

Thus, l² = s²+h²

l² = 43²+25² = 1,849+625

l² = 2,474

l = √2,474

l ≈ 50 yd

=>Lateral area = ½ × 172 × 50

= 172 × 25

= 4,300 yd

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