Question

A new homeowner has a triangular-shaped backyard. Two of the three sides measure 53 ft and 40 ft and form an included angle of 144°. To determine the amount of fertilizer and grass seed to be purchased, the owner must know, or at least approximate, the area of the yard. Find the area of the yard to the nearest square foot. The area of the yard is approximately ft².

Name: a new homeowner has a triangular shaped back yard two of the three sides measure 53 ft and 40 ft and form an included angle of 144 to determine the amount of fertilizer and grass seed to be 41447
Uploaded: 2022-04-18T15:57:51-08:00
Duration: 1 min 14 s
Channel: Teresa Fuston
Description: a new homeowner has a triangular shaped back yard two of the three sides measure 53 ft and 40 ft and form an included angle of 144 to determine the amount of fertilizer and grass seed to be 41447

          A new homeowner has a triangular-shaped backyard. Two of the three sides measure 53 ft and 40 ft and form an included angle of 144°. To determine the amount of fertilizer and grass seed to be purchased, the owner must know, or at least approximate, the area of the yard. Find the area of the yard to the nearest square foot. The area of the yard is approximately ft².

Added by Jason -.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

04/18/2022

Step 1

Step 1: Use the formula for the area of a triangle given two sides and the included angle: \[ \text{Area} = \frac{1}{2} \times \text{side1} \times \text{side2} \times \sin(\text{angle}) \] Show more…

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A new homeowner has a triangular-shaped backyard. Two of the three sides measure 53 ft and 40 ft and form an included angle of 144°. To determine the amount of fertilizer and grass seed to be purchased, the owner must know, or at least approximate, the area of the yard. Find the area of the yard to the nearest square foot. The area of the yard is approximately ft².