Question

A new homeowner has a triangular-shaped back yard. Two of the three sides measure $53 \mathrm{ft}$ and $42 \mathrm{ft}$ and form an included angle of $135^{\circ} .$ 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.

Name: A new homeowner has a triangular-shaped back yard. Two of the three sides measure 53 ft and 42 ft and form an included angle of 135^∘ . 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.
Uploaded: 2022-05-10T06:12:26-08:00
Duration: 3 min 31 s
Channel: Mary Wakumoto
Description: A new homeowner has a triangular-shaped back yard. Two of the three sides measure 53 ft and 42 ft and form an included angle of 135^∘ . 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.

          A new homeowner has a triangular-shaped back yard. Two of the three sides measure $53 \mathrm{ft}$ and $42 \mathrm{ft}$ and form an included angle of $135^{\circ} .$ 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.

Added by Sandy P.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Mary Wakumoto

05/10/2022

Step 1

7071)} \] \[ A = \sqrt{4573 + 3151.7912} \] \[ A = \sqrt{7724.7912} \] \[ A \approx 87.869445 \text{ ft} \] Show more…

Show all steps

Thanks for your feedback!

A new homeowner has a triangular-shaped back yard. Two of the three sides measure $53 \mathrm{ft}$ and $42 \mathrm{ft}$ and form an included angle of $135^{\circ} .$ 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.