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?

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

part a: 1.08

part b: 27.59