Question

The historical records state that the long-lost temple of the sun had a perimeter of about 220 meters and an area of about 2,100 square meters. Do you think the archaeologists actually discovered the lost temple?

Answer 1

Answer:

The archaeologists dis not actually discovered the lost temple

Step-by-step explanation:

For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.

Area of the temple = LW

Perimeter = 2L + 2W

L is the length

W is the width

If the perimeter is 220m

220 = 2L + 2W

110 = L+W ... 1

If the area is 2100 square meters

A = LW

2100 = LW ... 2

From 1;

L = 110 - W .... 3

Substitute 3 into 2

From 2;

2100 = LW

2100 = (110-W)W

2100 = 110W - W²

- W² + 110W - 2100 = 0

W² - 110W + 2100 = 0

Using the general formula;

W = -(-110)±√(-110)²-4(1)(2100)/2

W = 110±√3700/2

W = 110±60.83/2

W = 110±60.83/2

W = 110+60.83/2 and W = 110-60.83/2

W = 170.83/2 and 49.17/2

W = 85.415m and 24.585m

Substitute the width into the formula to get the length;

LW = 2100

L = 2100/W

L = 2100/85.415

L = 24.59 m

If the width is 24.585m;

L = 2100/24.585

L = 85.42m

Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple